746893440 has 128 divisors (see below), whose sum is σ = 2645308800. Its totient is φ = 199166976.

The previous prime is 746893409. The next prime is 746893451. The reversal of 746893440 is 44398647.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4332 + ... + 38891.

It is an arithmetic number, because the mean of its divisors is an integer number (20666475).

Almost surely, 2^746893440 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 746893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322654400).

746893440 is an abundant number, since it is smaller than the sum of its proper divisors (1898415360).

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

746893440 is a wasteful number, since it uses less digits than its factorization.

746893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43251 (or 43233 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 746893440 is about 27329.3512546493. The cubic root of 746893440 is about 907.3041172739.

The spelling of 746893440 in words is "seven hundred forty-six million, eight hundred ninety-three thousand, four hundred forty".