953638420 has 96 divisors (see below), whose sum is σ = 2421554688. Its totient is φ = 308385792.

The previous prime is 953638373. The next prime is 953638421. The reversal of 953638420 is 24836359.

It is a super-2 number, since 2×953638420² = 1818852472200192800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (953638421) 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, 233032 + ... + 237088.

It is an arithmetic number, because the mean of its divisors is an integer number (25224528).

Almost surely, 2^953638420 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 953638420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210777344).

953638420 is an abundant number, since it is smaller than the sum of its proper divisors (1467916268).

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

953638420 is a wasteful number, since it uses less digits than its factorization.

953638420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 953638420 is about 30881.0365758664. The cubic root of 953638420 is about 984.3009701882.

The spelling of 953638420 in words is "nine hundred fifty-three million, six hundred thirty-eight thousand, four hundred twenty".