46153920 has 112 divisors (see below), whose sum is σ = 148059648. Its totient is φ = 12180480.

The previous prime is 46153909. The next prime is 46153927. The reversal of 46153920 is 2935164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (46153927) 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, 125577 + ... + 125943.

Almost surely, 2^46153920 is an apocalyptic number.

46153920 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 46153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74029824).

46153920 is an abundant number, since it is smaller than the sum of its proper divisors (101905728).

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

46153920 is a wasteful number, since it uses less digits than its factorization.

46153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 46153920 is about 6793.6676397952. The cubic root of 46153920 is about 358.7039818435.

The spelling of 46153920 in words is "forty-six million, one hundred fifty-three thousand, nine hundred twenty".