263912040 has 192 divisors, whose sum is σ = 1023537600. Its totient is φ = 60310656.

The previous prime is 263912017. The next prime is 263912053. The reversal of 263912040 is 40219362.

263912040 is a `hidden beast` number, since 2 + 639 + 1 + 20 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 263911995 and 263912013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50427 + ... + 55413.

It is an arithmetic number, because the mean of its divisors is an integer number (5330925).

Almost surely, 2^263912040 is an apocalyptic number.

263912040 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 263912040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511768800).

263912040 is an abundant number, since it is smaller than the sum of its proper divisors (759625560).

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

263912040 is a wasteful number, since it uses less digits than its factorization.

263912040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 263912040 is about 16245.3698018851. The cubic root of 263912040 is about 641.4356119437.

The spelling of 263912040 in words is "two hundred sixty-three million, nine hundred twelve thousand, forty".