46390800 has 120 divisors (see below), whose sum is σ = 151084576. Its totient is φ = 12165120.

The previous prime is 46390789. The next prime is 46390801. The reversal of 46390800 is 809364.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (46390801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80112 + ... + 80688.

Almost surely, 2^46390800 is an apocalyptic number.

46390800 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 46390800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75542288).

46390800 is an abundant number, since it is smaller than the sum of its proper divisors (104693776).

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

46390800 is a wasteful number, since it uses less digits than its factorization.

46390800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 46390800 is about 6811.0792096407. The cubic root of 46390800 is about 359.3166047525.

The spelling of 46390800 in words is "forty-six million, three hundred ninety thousand, eight hundred".