390553152 has 84 divisors (see below), whose sum is σ = 1135885968. Its totient is φ = 118342400.

The previous prime is 390553147. The next prime is 390553153. The reversal of 390553152 is 251355093.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (390553153) 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, 14827 + ... + 31637.

It is an arithmetic number, because the mean of its divisors is an integer number (13522452).

Almost surely, 2^390553152 is an apocalyptic number.

390553152 is a gapful number since it is divisible by the number (32) 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 390553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567942984).

390553152 is an abundant number, since it is smaller than the sum of its proper divisors (745332816).

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

390553152 is a wasteful number, since it uses less digits than its factorization.

390553152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16848 (or 16827 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 33.

The square root of 390553152 is about 19762.4176658626. The cubic root of 390553152 is about 730.9596137088.

The spelling of 390553152 in words is "three hundred ninety million, five hundred fifty-three thousand, one hundred fifty-two".