390451380480 has 432 divisors, whose sum is σ = 1611780992640. Its totient is φ = 89245642752.

The previous prime is 390451380469. The next prime is 390451380493. The reversal of 390451380480 is 84083154093.

390451380480 is a `hidden beast` number, since 3 + 90 + 4 + 5 + 1 + 3 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1578157 + ... + 1808723.

It is an arithmetic number, because the mean of its divisors is an integer number (3730974520).

Almost surely, 2^390451380480 is an apocalyptic number.

390451380480 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 390451380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805890496320).

390451380480 is an abundant number, since it is smaller than the sum of its proper divisors (1221329612160).

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

390451380480 is a wasteful number, since it uses less digits than its factorization.

390451380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230611 (or 230584 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 390451380480 in words is "three hundred ninety billion, four hundred fifty-one million, three hundred eighty thousand, four hundred eighty".