46415632 has 40 divisors (see below), whose sum is σ = 96253760. Its totient is φ = 21617280.

The previous prime is 46415623. The next prime is 46415639. The reversal of 46415632 is 23651464.

It is a junction number, because it is equal to n+sod(n) for n = 46415594 and 46415603.

It is not an unprimeable number, because it can be changed into a prime (46415639) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 17293 + ... + 19795.

It is an arithmetic number, because the mean of its divisors is an integer number (2406344).

Almost surely, 2^46415632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46415632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48126880).

46415632 is an abundant number, since it is smaller than the sum of its proper divisors (49838128).

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

46415632 is a wasteful number, since it uses less digits than its factorization.

46415632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2585 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 46415632 is about 6812.9018780546. The cubic root of 46415632 is about 359.3807048067.

The spelling of 46415632 in words is "forty-six million, four hundred fifteen thousand, six hundred thirty-two".