253903440 has 160 divisors (see below), whose sum is σ = 938797056. Its totient is φ = 55503360.

The previous prime is 253903427. The next prime is 253903453. The reversal of 253903440 is 44309352.

It is an interprime number because it is at equal distance from previous prime (253903427) and next prime (253903453).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 253903398 and 253903407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35355 + ... + 41925.

Almost surely, 2^253903440 is an apocalyptic number.

253903440 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 253903440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469398528).

253903440 is an abundant number, since it is smaller than the sum of its proper divisors (684893616).

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

253903440 is a wasteful number, since it uses less digits than its factorization.

253903440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617 (or 6611 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 253903440 is about 15934.3478059191. The cubic root of 253903440 is about 633.2222913971. Note that the first 4 decimals are identical.

The spelling of 253903440 in words is "two hundred fifty-three million, nine hundred three thousand, four hundred forty".