401947920 has 200 divisors, whose sum is σ = 1523206080. Its totient is φ = 97424640.

The previous prime is 401947883. The next prime is 401947937. The reversal of 401947920 is 29749104.

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 39 ways as a sum of consecutive naturals, for example, 68461 + ... + 74099.

Almost surely, 2^401947920 is an apocalyptic number.

401947920 is a gapful number since it is divisible by the number (40) 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 401947920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761603040).

401947920 is an abundant number, since it is smaller than the sum of its proper divisors (1121258160).

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

401947920 is a wasteful number, since it uses less digits than its factorization.

401947920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5675 (or 5660 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 401947920 is about 20048.6388565409. The cubic root of 401947920 is about 738.0003965891. Note that the first 3 decimals are identical.

The spelling of 401947920 in words is "four hundred one million, nine hundred forty-seven thousand, nine hundred twenty".