746654400 has 252 divisors, whose sum is σ = 2794482600. Its totient is φ = 188559360.

The previous prime is 746654383. The next prime is 746654431. The reversal of 746654400 is 4456647.

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 35 ways as a sum of consecutive naturals, for example, 272236 + ... + 274964.

Almost surely, 2^746654400 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 746654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397241300).

746654400 is an abundant number, since it is smaller than the sum of its proper divisors (2047828200).

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

746654400 is a wasteful number, since it uses less digits than its factorization.

746654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 746654400 is about 27324.9775846203. The cubic root of 746654400 is about 907.2073140327.

The spelling of 746654400 in words is "seven hundred forty-six million, six hundred fifty-four thousand, four hundred".