390561264 has 240 divisors, whose sum is σ = 1267418880. Its totient is φ = 115706880.

The previous prime is 390561263. The next prime is 390561287. The reversal of 390561264 is 462165093.

It is a happy number.

390561264 is a `hidden beast` number, since 3 + 90 + 561 + 2 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390561263) 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, 1255669 + ... + 1255979.

It is an arithmetic number, because the mean of its divisors is an integer number (5280912).

Almost surely, 2^390561264 is an apocalyptic number.

390561264 is a gapful number since it is divisible by the number (34) 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 390561264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633709440).

390561264 is an abundant number, since it is smaller than the sum of its proper divisors (876857616).

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

390561264 is a wasteful number, since it uses less digits than its factorization.

390561264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 390561264 is about 19762.6229028436. The cubic root of 390561264 is about 730.9646744825.

The spelling of 390561264 in words is "three hundred ninety million, five hundred sixty-one thousand, two hundred sixty-four".