394390080 has 224 divisors, whose sum is σ = 1590324480. Its totient is φ = 90132480.

The previous prime is 394390079. The next prime is 394390127. The reversal of 394390080 is 80093493.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57220 + ... + 63740.

Almost surely, 2^394390080 is an apocalyptic number.

394390080 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 394390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795162240).

394390080 is an abundant number, since it is smaller than the sum of its proper divisors (1195934400).

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

394390080 is a wasteful number, since it uses less digits than its factorization.

394390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6554 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 394390080 is about 19859.2567836765. The cubic root of 394390080 is about 733.3455498424.

The spelling of 394390080 in words is "three hundred ninety-four million, three hundred ninety thousand, eighty".