368899440 has 480 divisors, whose sum is σ = 1519902720. Its totient is φ = 73156608.

The previous prime is 368899379. The next prime is 368899477. The reversal of 368899440 is 44998863.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2904657 + ... + 2904783.

It is an arithmetic number, because the mean of its divisors is an integer number (3166464).

Almost surely, 2^368899440 is an apocalyptic number.

368899440 is a gapful number since it is divisible by the number (30) 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 368899440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759951360).

368899440 is an abundant number, since it is smaller than the sum of its proper divisors (1151003280).

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

368899440 is a wasteful number, since it uses less digits than its factorization.

368899440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 368899440 is about 19206.7550616964. The cubic root of 368899440 is about 717.1929282866.

The spelling of 368899440 in words is "three hundred sixty-eight million, eight hundred ninety-nine thousand, four hundred forty".