46132560 has 120 divisors (see below), whose sum is σ = 164085480. Its totient is φ = 11575296.

The previous prime is 46132553. The next prime is 46132573. The reversal of 46132560 is 6523164.

46132560 = T₂₂₉ + T₂₃₀ + ... + T₆₆₀.

It can be written as a sum of positive squares in 4 ways, for example, as 16842816 + 29289744 = 4104^2 + 5412^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10356 + ... + 14124.

It is an arithmetic number, because the mean of its divisors is an integer number (1367379).

Almost surely, 2^46132560 is an apocalyptic number.

46132560 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 46132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82042740).

46132560 is an abundant number, since it is smaller than the sum of its proper divisors (117952920).

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

46132560 is a wasteful number, since it uses less digits than its factorization.

46132560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 46132560 is about 6792.0954056904. The cubic root of 46132560 is about 358.6486373258.

The spelling of 46132560 in words is "forty-six million, one hundred thirty-two thousand, five hundred sixty".