746402400 has 216 divisors, whose sum is σ = 2665845000. Its totient is φ = 196485120.

The previous prime is 746402399. The next prime is 746402413. The reversal of 746402400 is 4204647.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 596976 + ... + 598224.

It is an arithmetic number, because the mean of its divisors is an integer number (12341875).

Almost surely, 2^746402400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332922500).

746402400 is an abundant number, since it is smaller than the sum of its proper divisors (1919442600).

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

746402400 is a wasteful number, since it uses less digits than its factorization.

746402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 746402400 is about 27320.3660297588. The cubic root of 746402400 is about 907.1052400487.

The spelling of 746402400 in words is "seven hundred forty-six million, four hundred two thousand, four hundred".