749245200 has 240 divisors, whose sum is σ = 2704207872. Its totient is φ = 175680000.

The previous prime is 749245157. The next prime is 749245219. The reversal of 749245200 is 2542947.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×749245200² = 1122736739446080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408285 + ... + 410115.

Almost surely, 2^749245200 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 749245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352103936).

749245200 is an abundant number, since it is smaller than the sum of its proper divisors (1954962672).

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

749245200 is a wasteful number, since it uses less digits than its factorization.

749245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 749245200 is about 27372.3437067417. The cubic root of 749245200 is about 908.2554024173.

The spelling of 749245200 in words is "seven hundred forty-nine million, two hundred forty-five thousand, two hundred".