46153360 has 80 divisors (see below), whose sum is σ = 118117440. Its totient is φ = 16632320.

The previous prime is 46153343. The next prime is 46153361. The reversal of 46153360 is 6335164.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (46153361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157374 + ... + 157666.

It is an arithmetic number, because the mean of its divisors is an integer number (1476468).

Almost surely, 2^46153360 is an apocalyptic number.

46153360 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 46153360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59058720).

46153360 is an abundant number, since it is smaller than the sum of its proper divisors (71964080).

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

46153360 is a wasteful number, since it uses less digits than its factorization.

46153360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 46153360 is about 6793.6264248191. The cubic root of 46153360 is about 358.7025310817.

The spelling of 46153360 in words is "forty-six million, one hundred fifty-three thousand, three hundred sixty".