746415504 has 120 divisors (see below), whose sum is σ = 2239029312. Its totient is φ = 231517440.

The previous prime is 746415497. The next prime is 746415533. The reversal of 746415504 is 405514647.

746415504 is a `hidden beast` number, since 7 + 4 + 641 + 5 + 5 + 0 + 4 = 666.

746415504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×746415504² = 1114272209223148032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 119499 + ... + 125589.

Almost surely, 2^746415504 is an apocalyptic number.

746415504 is a gapful number since it is divisible by the number (74) 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 746415504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119514656).

746415504 is an abundant number, since it is smaller than the sum of its proper divisors (1492613808).

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

746415504 is a wasteful number, since it uses less digits than its factorization.

746415504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6165 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 746415504 is about 27320.6058497977. The cubic root of 746415504 is about 907.1105484621.

The spelling of 746415504 in words is "seven hundred forty-six million, four hundred fifteen thousand, five hundred four".