1253401920 has 336 divisors, whose sum is σ = 4526645760. Its totient is φ = 317952000.

The previous prime is 1253401879. The next prime is 1253401943. The reversal of 1253401920 is 291043521.

1253401920 is a `hidden beast` number, since 1 + 253 + 401 + 9 + 2 + 0 = 666.

It is a super-3 number, since 3×1253401920³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9017211 + ... + 9017349.

It is an arithmetic number, because the mean of its divisors is an integer number (13472160).

Almost surely, 2^1253401920 is an apocalyptic number.

1253401920 is a gapful number since it is divisible by the number (10) 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 1253401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263322880).

1253401920 is an abundant number, since it is smaller than the sum of its proper divisors (3273243840).

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

1253401920 is a wasteful number, since it uses less digits than its factorization.

1253401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1253401920 is about 35403.4167842597. The cubic root of 1253401920 is about 1078.1936884277.

It can be divided in two parts, 125340 and 1920, that added together give a triangular number (127260 = T₅₀₄).

The spelling of 1253401920 in words is "one billion, two hundred fifty-three million, four hundred one thousand, nine hundred twenty".