46461408 has 192 divisors, whose sum is σ = 152409600. Its totient is φ = 12343296.

The previous prime is 46461367. The next prime is 46461413. The reversal of 46461408 is 80416464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559735 + ... + 559817.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^46461408 is an apocalyptic number.

46461408 is a gapful number since it is divisible by the number (48) 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 46461408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

46461408 is an abundant number, since it is smaller than the sum of its proper divisors (105948192).

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

46461408 is a wasteful number, since it uses less digits than its factorization.

46461408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 46461408 is about 6816.2605584000. The cubic root of 46461408 is about 359.4988087392.

The spelling of 46461408 in words is "forty-six million, four hundred sixty-one thousand, four hundred eight".