753532416 has 320 divisors, whose sum is σ = 2749824000. Its totient is φ = 198402048.

The previous prime is 753532397. The next prime is 753532427. The reversal of 753532416 is 614235357.

753532416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×753532416² = 1135622203925594112, 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257685 + ... + 1258283.

It is an arithmetic number, because the mean of its divisors is an integer number (8593200).

Almost surely, 2^753532416 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 753532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374912000).

753532416 is an abundant number, since it is smaller than the sum of its proper divisors (1996291584).

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

753532416 is a wasteful number, since it uses less digits than its factorization.

753532416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 624 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 753532416 is about 27450.5449126242. The cubic root of 753532416 is about 909.9844685994.

The spelling of 753532416 in words is "seven hundred fifty-three million, five hundred thirty-two thousand, four hundred sixteen".