263940272460 has 432 divisors, whose sum is σ = 902745043200. Its totient is φ = 62273046528.

The previous prime is 263940272441. The next prime is 263940272467. The reversal of 263940272460 is 64272049362.

263940272460 is a `hidden beast` number, since 2 + 639 + 4 + 0 + 2 + 7 + 2 + 4 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (263940272467) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70589271 + ... + 70593009.

It is an arithmetic number, because the mean of its divisors is an integer number (2089687600).

Almost surely, 2^263940272460 is an apocalyptic number.

263940272460 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 263940272460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451372521600).

263940272460 is an abundant number, since it is smaller than the sum of its proper divisors (638804770740).

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

263940272460 is a wasteful number, since it uses less digits than its factorization.

263940272460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 263940272460 in words is "two hundred sixty-three billion, nine hundred forty million, two hundred seventy-two thousand, four hundred sixty".