46792560 has 80 divisors (see below), whose sum is σ = 145838880. Its totient is φ = 12410880.

The previous prime is 46792549. The next prime is 46792567. The reversal of 46792560 is 6529764.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46792567) 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, 57436 + ... + 58244.

It is an arithmetic number, because the mean of its divisors is an integer number (1822986).

Almost surely, 2^46792560 is an apocalyptic number.

46792560 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 46792560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72919440).

46792560 is an abundant number, since it is smaller than the sum of its proper divisors (99046320).

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

46792560 is a wasteful number, since it uses less digits than its factorization.

46792560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 46792560 is about 6840.5087530095. The cubic root of 46792560 is about 360.3508924415.

The spelling of 46792560 in words is "forty-six million, seven hundred ninety-two thousand, five hundred sixty".