749463624 has 288 divisors, whose sum is σ = 2628612000. Its totient is φ = 197188992.

The previous prime is 749463557. The next prime is 749463667. The reversal of 749463624 is 426364947.

It is a happy number.

749463624 is a `hidden beast` number, since 7 + 4 + 9 + 4 + 636 + 2 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 749463624.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1788487 + ... + 1788905.

It is an arithmetic number, because the mean of its divisors is an integer number (9127125).

Almost surely, 2^749463624 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 749463624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314306000).

749463624 is an abundant number, since it is smaller than the sum of its proper divisors (1879148376).

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

749463624 is a wasteful number, since it uses less digits than its factorization.

749463624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 444 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 749463624 is about 27376.3332826001. Note that the first 3 decimals coincide. The cubic root of 749463624 is about 908.3436536792.

The spelling of 749463624 in words is "seven hundred forty-nine million, four hundred sixty-three thousand, six hundred twenty-four".