46625040 has 360 divisors, whose sum is σ = 202183488. Its totient is φ = 9354240.

The previous prime is 46625021. The next prime is 46625093. The reversal of 46625040 is 4052664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 46624995 and 46625013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1607746 + ... + 1607774.

Almost surely, 2^46625040 is an apocalyptic number.

46625040 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 46625040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101091744).

46625040 is an abundant number, since it is smaller than the sum of its proper divisors (155558448).

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

46625040 is a wasteful number, since it uses less digits than its factorization.

46625040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 46625040 is about 6828.2530708813. The cubic root of 46625040 is about 359.9203527503.

The spelling of 46625040 in words is "forty-six million, six hundred twenty-five thousand, forty".