253075464 has 96 divisors (see below), whose sum is σ = 730080000. Its totient is φ = 78921216.

The previous prime is 253075441. The next prime is 253075499. The reversal of 253075464 is 464570352.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243057 + ... + 244095.

It is an arithmetic number, because the mean of its divisors is an integer number (7605000).

Almost surely, 2^253075464 is an apocalyptic number.

253075464 is a gapful number since it is divisible by the number (24) 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 253075464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365040000).

253075464 is an abundant number, since it is smaller than the sum of its proper divisors (477004536).

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

253075464 is a wasteful number, since it uses less digits than its factorization.

253075464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 253075464 is about 15908.3457342365. The cubic root of 253075464 is about 632.5332318097.

The spelling of 253075464 in words is "two hundred fifty-three million, seventy-five thousand, four hundred sixty-four".