401252352 has 112 divisors (see below), whose sum is σ = 1108801440. Its totient is φ = 128909312.

The previous prime is 401252351. The next prime is 401252353. The reversal of 401252352 is 253252104.

It is an interprime number because it is at equal distance from previous prime (401252351) and next prime (401252353).

It is a super-2 number, since 2×401252352² = 322006899971063808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (401252351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 712423 + ... + 712985.

Almost surely, 2^401252352 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 401252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554400720).

401252352 is an abundant number, since it is smaller than the sum of its proper divisors (707549088).

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

401252352 is an equidigital number, since it uses as much as digits as its factorization.

401252352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 401252352 is about 20031.2843322639. The cubic root of 401252352 is about 737.5744493261.

The spelling of 401252352 in words is "four hundred one million, two hundred fifty-two thousand, three hundred fifty-two".