46253760 has 112 divisors (see below), whose sum is σ = 167859456. Its totient is φ = 10570752.

The previous prime is 46253741. The next prime is 46253791. The reversal of 46253760 is 6735264.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3279 + ... + 10161.

Almost surely, 2^46253760 is an apocalyptic number.

46253760 is a gapful number since it is divisible by the number (40) 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 46253760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83929728).

46253760 is an abundant number, since it is smaller than the sum of its proper divisors (121605696).

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

46253760 is a wasteful number, since it uses less digits than its factorization.

46253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6910 (or 6900 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 46253760 is about 6801.0116894474. The cubic root of 46253760 is about 358.9624446351.

It can be divided in two parts, 4625 and 3760, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 46253760 in words is "forty-six million, two hundred fifty-three thousand, seven hundred sixty".