46141920 has 192 divisors, whose sum is σ = 176359680. Its totient is φ = 11174400.

The previous prime is 46141903. The next prime is 46141943. The reversal of 46141920 is 2914164.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47035 + ... + 48005.

It is an arithmetic number, because the mean of its divisors is an integer number (918540).

Almost surely, 2^46141920 is an apocalyptic number.

46141920 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 46141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88179840).

46141920 is an abundant number, since it is smaller than the sum of its proper divisors (130217760).

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

46141920 is a wasteful number, since it uses less digits than its factorization.

46141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 46141920 is about 6792.7844070013. The cubic root of 46141920 is about 358.6728915202.

The spelling of 46141920 in words is "forty-six million, one hundred forty-one thousand, nine hundred twenty".