401905152 has 200 divisors, whose sum is σ = 1310119272. Its totient is φ = 121651200.

The previous prime is 401905139. The next prime is 401905169. The reversal of 401905152 is 251509104.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 455752 + ... + 456632.

Almost surely, 2^401905152 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 401905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655059636).

401905152 is an abundant number, since it is smaller than the sum of its proper divisors (908214120).

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

401905152 is an equidigital number, since it uses as much as digits as its factorization.

401905152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 401905152 is about 20047.5722220921. The cubic root of 401905152 is about 737.9742207929.

The spelling of 401905152 in words is "four hundred one million, nine hundred five thousand, one hundred fifty-two".