46056000 has 224 divisors, whose sum is σ = 161665920. Its totient is φ = 11520000.

The previous prime is 46055969. The next prime is 46056011. The reversal of 46056000 is 65064.

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 31 ways as a sum of consecutive naturals, for example, 455950 + ... + 456050.

Almost surely, 2^46056000 is an apocalyptic number.

46056000 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 46056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80832960).

46056000 is an abundant number, since it is smaller than the sum of its proper divisors (115609920).

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

46056000 is a wasteful number, since it uses less digits than its factorization.

46056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 46056000 is about 6786.4571021999. The cubic root of 46056000 is about 358.4501271830.

The spelling of 46056000 in words is "forty-six million, fifty-six thousand", and thus it is an eban number.