46464480 has 144 divisors (see below), whose sum is σ = 162633744. Its totient is φ = 12072960.

The previous prime is 46464463. The next prime is 46464499. The reversal of 46464480 is 8446464.

46464480 is a `hidden beast` number, since 4 + 6 + 4 + 644 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 58647 + ... + 59433.

It is an arithmetic number, because the mean of its divisors is an integer number (1129401).

Almost surely, 2^46464480 is an apocalyptic number.

46464480 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 46464480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81316872).

46464480 is an abundant number, since it is smaller than the sum of its proper divisors (116169264).

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

46464480 is a wasteful number, since it uses less digits than its factorization.

46464480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 46464480 is about 6816.4858981736. The cubic root of 46464480 is about 359.5067318453.

The spelling of 46464480 in words is "forty-six million, four hundred sixty-four thousand, four hundred eighty".