46776520 has 128 divisors (see below), whose sum is σ = 131880960. Its totient is φ = 14561280.

The previous prime is 46776493. The next prime is 46776539. The reversal of 46776520 is 2567764.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 46776520.

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, 147402 + ... + 147718.

It is an arithmetic number, because the mean of its divisors is an integer number (1030320).

Almost surely, 2^46776520 is an apocalyptic number.

46776520 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 46776520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65940480).

46776520 is an abundant number, since it is smaller than the sum of its proper divisors (85104440).

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

46776520 is a wasteful number, since it uses less digits than its factorization.

46776520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 46776520 is about 6839.3362251026. The cubic root of 46776520 is about 360.3097128972.

The spelling of 46776520 in words is "forty-six million, seven hundred seventy-six thousand, five hundred twenty".