401962176 has 560 divisors, whose sum is σ = 1593250560. Its totient is φ = 97044480.

The previous prime is 401962147. The next prime is 401962177. The reversal of 401962176 is 671269104.

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 401962176.

It is not an unprimeable number, because it can be changed into a prime (401962177) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7584166 + ... + 7584218.

Almost surely, 2^401962176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401962176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796625280).

401962176 is an abundant number, since it is smaller than the sum of its proper divisors (1191288384).

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

401962176 is a wasteful number, since it uses less digits than its factorization.

401962176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

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

The square root of 401962176 is about 20048.9943887468. The cubic root of 401962176 is about 738.0091214419.

The spelling of 401962176 in words is "four hundred one million, nine hundred sixty-two thousand, one hundred seventy-six".