368232480 has 672 divisors, whose sum is σ = 1665836928. Its totient is φ = 74649600.

The previous prime is 368232479. The next prime is 368232493. The reversal of 368232480 is 84232863.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8981260 + ... + 8981300.

It is an arithmetic number, because the mean of its divisors is an integer number (2478924).

Almost surely, 2^368232480 is an apocalyptic number.

368232480 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 368232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832918464).

368232480 is an abundant number, since it is smaller than the sum of its proper divisors (1297604448).

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

368232480 is a wasteful number, since it uses less digits than its factorization.

368232480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 368232480 is about 19189.3845654310. The cubic root of 368232480 is about 716.7604458736.

The spelling of 368232480 in words is "three hundred sixty-eight million, two hundred thirty-two thousand, four hundred eighty".