46448640 has 300 divisors, whose sum is σ = 190310736. Its totient is φ = 10616832.

The previous prime is 46448639. The next prime is 46448651. The reversal of 46448640 is 4684464.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (2!)⁷.

46448640 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 46448595 and 46448604.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6635517 + ... + 6635523.

Almost surely, 2^46448640 is an apocalyptic number.

46448640 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 46448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95155368).

46448640 is an abundant number, since it is smaller than the sum of its proper divisors (143862096).

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

46448640 is an frugal number, since it uses more digits than its factorization.

46448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 17 counting only the distinct ones).

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

The square root of 46448640 is about 6815.3239101308. The cubic root of 46448640 is about 359.4658745865.

46448640 divided by its product of nonzero digits (73728) gives a triangular number (630 = T₃₅).

The spelling of 46448640 in words is "forty-six million, four hundred forty-eight thousand, six hundred forty".