263172420 has 144 divisors (see below), whose sum is σ = 960435840. Its totient is φ = 56982528.

The previous prime is 263172409. The next prime is 263172421. The reversal of 263172420 is 24271362.

263172420 is a `hidden beast` number, since 2 + 631 + 7 + 2 + 4 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (263172421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18444 + ... + 29436.

Almost surely, 2^263172420 is an apocalyptic number.

263172420 is a gapful number since it is divisible by the number (20) 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 263172420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480217920).

263172420 is an abundant number, since it is smaller than the sum of its proper divisors (697263420).

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

263172420 is a wasteful number, since it uses less digits than its factorization.

263172420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11034 (or 11029 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 263172420 is about 16222.5898055767. The cubic root of 263172420 is about 640.8358382608.

The spelling of 263172420 in words is "two hundred sixty-three million, one hundred seventy-two thousand, four hundred twenty".