163400952 has 128 divisors (see below), whose sum is σ = 490613760. Its totient is φ = 44689920.

The previous prime is 163400933. The next prime is 163400953. The reversal of 163400952 is 259004361.

It is a super-2 number, since 2×163400952² = 53399742229012608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163400953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160798 + ... + 161810.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 2^163400952 is an apocalyptic number.

163400952 is a gapful number since it is divisible by the number (12) 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 163400952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245306880).

163400952 is an abundant number, since it is smaller than the sum of its proper divisors (327212808).

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

163400952 is a wasteful number, since it uses less digits than its factorization.

163400952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 163400952 is about 12782.8381825008. The cubic root of 163400952 is about 546.7030886567.

The spelling of 163400952 in words is "one hundred sixty-three million, four hundred thousand, nine hundred fifty-two".