46956800 has 216 divisors, whose sum is σ = 136866240. Its totient is φ = 15769600.

The previous prime is 46956769. The next prime is 46956803. The reversal of 46956800 is 865964.

It is not an unprimeable number, because it can be changed into a prime (46956803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1619186 + ... + 1619214.

It is an arithmetic number, because the mean of its divisors is an integer number (633640).

Almost surely, 2^46956800 is an apocalyptic number.

46956800 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 46956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68433120).

46956800 is an abundant number, since it is smaller than the sum of its proper divisors (89909440).

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

46956800 is a wasteful number, since it uses less digits than its factorization.

46956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 46956800 is about 6852.5031922649. The cubic root of 46956800 is about 360.7720058319.

The spelling of 46956800 in words is "forty-six million, nine hundred fifty-six thousand, eight hundred".