1372461408 has 120 divisors (see below), whose sum is σ = 4273941672. Its totient is φ = 430562304.

The previous prime is 1372461383. The next prime is 1372461437. The reversal of 1372461408 is 8041642731.

1372461408 is a `hidden beast` number, since 1 + 3 + 7 + 246 + 1 + 408 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28491 + ... + 59637.

Almost surely, 2^1372461408 is an apocalyptic number.

1372461408 is a gapful number since it is divisible by the number (18) 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 1372461408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136970836).

1372461408 is an abundant number, since it is smaller than the sum of its proper divisors (2901480264).

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

1372461408 is a wasteful number, since it uses less digits than its factorization.

1372461408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31186 (or 31169 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1372461408 is about 37046.7462538885. The cubic root of 1372461408 is about 1111.3052869649.

The spelling of 1372461408 in words is "one billion, three hundred seventy-two million, four hundred sixty-one thousand, four hundred eight".