253400480 has 24 divisors (see below), whose sum is σ = 598659012. Its totient is φ = 101360128.

The previous prime is 253400471. The next prime is 253400489. The reversal of 253400480 is 84004352.

It is an interprime number because it is at equal distance from previous prime (253400471) and next prime (253400489).

It can be written as a sum of positive squares in 2 ways, for example, as 247999504 + 5400976 = 15748^2 + 2324^2 .

It is not an unprimeable number, because it can be changed into a prime (253400489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 791717 + ... + 792036.

Almost surely, 2^253400480 is an apocalyptic number.

253400480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253400480 is an abundant number, since it is smaller than the sum of its proper divisors (345258532).

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

253400480 is a wasteful number, since it uses less digits than its factorization.

253400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583768 (or 1583760 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 253400480 is about 15918.5577236130. The cubic root of 253400480 is about 632.8038961041.

The spelling of 253400480 in words is "two hundred fifty-three million, four hundred thousand, four hundred eighty".