368978400 has 216 divisors, whose sum is σ = 1487186064. Its totient is φ = 84326400.

The previous prime is 368978383. The next prime is 368978411. The reversal of 368978400 is 4879863.

It is a happy number.

It is a super-2 number, since 2×368978400² = 272290119333120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46740 + ... + 54060.

Almost surely, 2^368978400 is an apocalyptic number.

368978400 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 368978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743593032).

368978400 is an abundant number, since it is smaller than the sum of its proper divisors (1118207664).

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

368978400 is a wasteful number, since it uses less digits than its factorization.

368978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7354 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 368978400 is about 19208.8104785278. The cubic root of 368978400 is about 717.2440944560.

The spelling of 368978400 in words is "three hundred sixty-eight million, nine hundred seventy-eight thousand, four hundred".