749444459400 has 2304 divisors, whose sum is σ = 3466320998400. Its totient is φ = 145178542080.

The previous prime is 749444459381. The next prime is 749444459411. The reversal of 749444459400 is 4954444947.

749444459400 is a `hidden beast` number, since 7 + 4 + 9 + 4 + 4 + 44 + 594 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7276159749 + ... + 7276159851.

It is an arithmetic number, because the mean of its divisors is an integer number (1504479600).

Almost surely, 2^749444459400 is an apocalyptic number.

749444459400 is a gapful number since it is divisible by the number (70) 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 749444459400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733160499200).

749444459400 is an abundant number, since it is smaller than the sum of its proper divisors (2716876539000).

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

749444459400 is a wasteful number, since it uses less digits than its factorization.

749444459400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 749444459400 in words is "seven hundred forty-nine billion, four hundred forty-four million, four hundred fifty-nine thousand, four hundred".