401152752 has 480 divisors, whose sum is σ = 1585898496. Its totient is φ = 91998720.

The previous prime is 401152751. The next prime is 401152753. The reversal of 401152752 is 257251104.

It is an interprime number because it is at equal distance from previous prime (401152751) and next prime (401152753).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401152751) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17441413 + ... + 17441435.

Almost surely, 2^401152752 is an apocalyptic number.

401152752 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 401152752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792949248).

401152752 is an abundant number, since it is smaller than the sum of its proper divisors (1184745744).

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

401152752 is a wasteful number, since it uses less digits than its factorization.

401152752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 401152752 is about 20028.7980667837. The cubic root of 401152752 is about 737.5134166668.

The spelling of 401152752 in words is "four hundred one million, one hundred fifty-two thousand, seven hundred fifty-two".