750406464 has 224 divisors, whose sum is σ = 2340864000. Its totient is φ = 235243008.

The previous prime is 750406439. The next prime is 750406511. The reversal of 750406464 is 464604057.

750406464 is a `hidden beast` number, since 7 + 5 + 0 + 4 + 0 + 646 + 4 = 666.

It is a super-2 number, since 2×750406464² = 1126219722425966592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3139657 + ... + 3139895.

Almost surely, 2^750406464 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 750406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170432000).

750406464 is an abundant number, since it is smaller than the sum of its proper divisors (1590457536).

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

750406464 is a wasteful number, since it uses less digits than its factorization.

750406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 346 counting only the distinct ones).

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

The square root of 750406464 is about 27393.5478534636. The cubic root of 750406464 is about 908.7243987977.

The spelling of 750406464 in words is "seven hundred fifty million, four hundred six thousand, four hundred sixty-four".