749188440 has 864 divisors, whose sum is σ = 3476949840. Its totient is φ = 143700480.

The previous prime is 749188421. The next prime is 749188483. The reversal of 749188440 is 44881947.

It is a super-2 number, since 2×749188440² = 1122566637259267200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 57629874 + ... + 57629886.

Almost surely, 2^749188440 is an apocalyptic number.

749188440 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 749188440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738474920).

749188440 is an abundant number, since it is smaller than the sum of its proper divisors (2727761400).

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

749188440 is a wasteful number, since it uses less digits than its factorization.

749188440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 749188440 is about 27371.3068741703. The cubic root of 749188440 is about 908.2324664997.

The spelling of 749188440 in words is "seven hundred forty-nine million, one hundred eighty-eight thousand, four hundred forty".