401959152 has 240 divisors, whose sum is σ = 1422364320. Its totient is φ = 107993088.

The previous prime is 401959139. The next prime is 401959171. The reversal of 401959152 is 251959104.

401959152 is a `hidden beast` number, since 4 + 0 + 19 + 591 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359298 + ... + 360414.

It is an arithmetic number, because the mean of its divisors is an integer number (5926518).

Almost surely, 2^401959152 is an apocalyptic number.

401959152 is a gapful number since it is divisible by the number (42) 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 401959152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711182160).

401959152 is an abundant number, since it is smaller than the sum of its proper divisors (1020405168).

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

401959152 is a wasteful number, since it uses less digits than its factorization.

401959152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 401959152 is about 20048.9189733512. The cubic root of 401959152 is about 738.0072707328.

The spelling of 401959152 in words is "four hundred one million, nine hundred fifty-nine thousand, one hundred fifty-two".