46736720 has 40 divisors (see below), whose sum is σ = 111321000. Its totient is φ = 18237440.

The previous prime is 46736699. The next prime is 46736731. The reversal of 46736720 is 2763764.

It can be written as a sum of positive squares in 4 ways, for example, as 1201216 + 45535504 = 1096^2 + 6748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3845 + ... + 10404.

It is an arithmetic number, because the mean of its divisors is an integer number (2783025).

Almost surely, 2^46736720 is an apocalyptic number.

46736720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46736720 is an abundant number, since it is smaller than the sum of its proper divisors (64584280).

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

46736720 is a wasteful number, since it uses less digits than its factorization.

46736720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14303 (or 14297 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 46736720 is about 6836.4259668338. The cubic root of 46736720 is about 360.2074935525.

The spelling of 46736720 in words is "forty-six million, seven hundred thirty-six thousand, seven hundred twenty".