390450456 has 288 divisors, whose sum is σ = 1301227200. Its totient is φ = 108475200.

The previous prime is 390450439. The next prime is 390450457. The reversal of 390450456 is 654054093.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 390450456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390450457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12595161 + ... + 12595191.

It is an arithmetic number, because the mean of its divisors is an integer number (4518150).

Almost surely, 2^390450456 is an apocalyptic number.

390450456 is a gapful number since it is divisible by the number (36) 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 390450456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650613600).

390450456 is an abundant number, since it is smaller than the sum of its proper divisors (910776744).

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

390450456 is a wasteful number, since it uses less digits than its factorization.

390450456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 390450456 is about 19759.8192299424. The cubic root of 390450456 is about 730.8955394519.

The spelling of 390450456 in words is "three hundred ninety million, four hundred fifty thousand, four hundred fifty-six".