368500400 has 60 divisors (see below), whose sum is σ = 891331344. Its totient is φ = 146400000.

The previous prime is 368500387. The next prime is 368500409. The reversal of 368500400 is 4005863.

It is a self number, because there is not a number n which added to its sum of digits gives 368500400.

It is not an unprimeable number, because it can be changed into a prime (368500409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57350 + ... + 63450.

Almost surely, 2^368500400 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 368500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445665672).

368500400 is an abundant number, since it is smaller than the sum of its proper divisors (522830944).

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

368500400 is a wasteful number, since it uses less digits than its factorization.

368500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6270 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 368500400 is about 19196.3642390949. The cubic root of 368500400 is about 716.9342381689.

The spelling of 368500400 in words is "three hundred sixty-eight million, five hundred thousand, four hundred".