1397264400 has 405 divisors, whose sum is σ = 5704641111. Its totient is φ = 315786240.

The previous prime is 1397264383. The next prime is 1397264417. The reversal of 1397264400 is 44627931.

The square root of 1397264400 is 37380.

It is a perfect power (a square), and thus also a powerful number.

1397264400 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 2 + 644 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1397264383) and next prime (1397264417).

It can be written as a sum of positive squares in 4 ways, for example, as 290770704 + 1106493696 = 17052^2 + 33264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15699556 + ... + 15699644.

Almost surely, 2^1397264400 is an apocalyptic number.

1397264400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1397264400 is the 37380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1397264400

1397264400 is an abundant number, since it is smaller than the sum of its proper divisors (4307376711).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1397264400 is a wasteful number, since it uses less digits than its factorization.

1397264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The cubic root of 1397264400 is about 1117.9598275808.

Multiplying 1397264400 by its sum of digits (36), we get a square (50301518400 = 224280²).

1397264400 divided by its sum of digits (36) gives a square (38812900 = 6230²).

The spelling of 1397264400 in words is "one billion, three hundred ninety-seven million, two hundred sixty-four thousand, four hundred".