46416720 has 120 divisors (see below), whose sum is σ = 167426784. Its totient is φ = 10606848.

The previous prime is 46416659. The next prime is 46416739. The reversal of 46416720 is 2761464.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 9787 + ... + 13733.

Almost surely, 2^46416720 is an apocalyptic number.

46416720 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 46416720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83713392).

46416720 is an abundant number, since it is smaller than the sum of its proper divisors (121010064).

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

46416720 is a wasteful number, since it uses less digits than its factorization.

46416720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 46416720 is about 6812.9817260873. The cubic root of 46416720 is about 359.3835127914.

The spelling of 46416720 in words is "forty-six million, four hundred sixteen thousand, seven hundred twenty".