1253498400 has 1296 divisors, whose sum is σ = 6251787360. Its totient is φ = 232243200.

The previous prime is 1253498399. The next prime is 1253498437. The reversal of 1253498400 is 48943521.

1253498400 is a `hidden beast` number, since 125 + 3 + 498 + 40 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 65973591 + ... + 65973609.

It is an arithmetic number, because the mean of its divisors is an integer number (4823910).

Almost surely, 2^1253498400 is an apocalyptic number.

1253498400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125893680).

1253498400 is an abundant number, since it is smaller than the sum of its proper divisors (4998288960).

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

1253498400 is a wasteful number, since it uses less digits than its factorization.

1253498400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1253498400 is about 35404.7793383888. The cubic root of 1253498400 is about 1078.2213521953.

The spelling of 1253498400 in words is "one billion, two hundred fifty-three million, four hundred ninety-eight thousand, four hundred".