532790400 has 384 divisors, whose sum is σ = 1942732800. Its totient is φ = 127733760.

The previous prime is 532790383. The next prime is 532790437. The reversal of 532790400 is 4097235.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×532790400² = 567731220664320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4195137 + ... + 4195263.

It is an arithmetic number, because the mean of its divisors is an integer number (5059200).

Almost surely, 2^532790400 is an apocalyptic number.

532790400 is a gapful number since it is divisible by the number (50) 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 532790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971366400).

532790400 is an abundant number, since it is smaller than the sum of its proper divisors (1409942400).

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

532790400 is a wasteful number, since it uses less digits than its factorization.

532790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 532790400 is about 23082.2529229709. The cubic root of 532790400 is about 810.6849867936.

The spelling of 532790400 in words is "five hundred thirty-two million, seven hundred ninety thousand, four hundred".