438248100 has 72 divisors (see below), whose sum is σ = 1342601568. Its totient is φ = 109990400.

The previous prime is 438248089. The next prime is 438248123. The reversal of 438248100 is 1842834.

It is a super-2 number, since 2×438248100² = 384122794307220000, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37866 + ... + 48065.

It is an arithmetic number, because the mean of its divisors is an integer number (18647244).

Almost surely, 2^438248100 is an apocalyptic number.

It is an amenable number.

438248100 is an abundant number, since it is smaller than the sum of its proper divisors (904353468).

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

438248100 is a wasteful number, since it uses less digits than its factorization.

438248100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85965 (or 85958 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 438248100 is about 20934.3760356023. The cubic root of 438248100 is about 759.5796960410.

The spelling of 438248100 in words is "four hundred thirty-eight million, two hundred forty-eight thousand, one hundred".