401637852 has 240 divisors, whose sum is σ = 1387507968. Its totient is φ = 98081280.

The previous prime is 401637823. The next prime is 401637853. The reversal of 401637852 is 258736104.

It is a super-2 number, since 2×401637852² = 322625928318347808, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401637853) 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, 423643 + ... + 424589.

Almost surely, 2^401637852 is an apocalyptic number.

401637852 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 401637852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693753984).

401637852 is an abundant number, since it is smaller than the sum of its proper divisors (985870116).

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

401637852 is a wasteful number, since it uses less digits than its factorization.

401637852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 401637852 is about 20040.9044706071. The cubic root of 401637852 is about 737.8105799804.

The spelling of 401637852 in words is "four hundred one million, six hundred thirty-seven thousand, eight hundred fifty-two".