368472960 has 384 divisors, whose sum is σ = 1391981760. Its totient is φ = 89456640.

The previous prime is 368472959. The next prime is 368472961. The reversal of 368472960 is 69274863.

It is an interprime number because it is at equal distance from previous prime (368472959) and next prime (368472961).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368472961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5189725 + ... + 5189795.

Almost surely, 2^368472960 is an apocalyptic number.

368472960 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 368472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695990880).

368472960 is an abundant number, since it is smaller than the sum of its proper divisors (1023508800).

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

368472960 is a wasteful number, since it uses less digits than its factorization.

368472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 368472960 is about 19195.6495071149. The cubic root of 368472960 is about 716.9164424724.

The spelling of 368472960 in words is "three hundred sixty-eight million, four hundred seventy-two thousand, nine hundred sixty".