46900720 has 80 divisors (see below), whose sum is σ = 113742720. Its totient is φ = 17971200.

The previous prime is 46900709. The next prime is 46900729. The reversal of 46900720 is 2700964.

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 (46900729) 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, 259030 + ... + 259210.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^46900720 is an apocalyptic number.

46900720 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 46900720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360).

46900720 is an abundant number, since it is smaller than the sum of its proper divisors (66842000).

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

46900720 is a wasteful number, since it uses less digits than its factorization.

46900720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 46900720 is about 6848.4100344533. The cubic root of 46900720 is about 360.6283265795.

The spelling of 46900720 in words is "forty-six million, nine hundred thousand, seven hundred twenty".