46315800 has 144 divisors (see below), whose sum is σ = 161474040. Its totient is φ = 12337920.

The previous prime is 46315793. The next prime is 46315811. The reversal of 46315800 is 851364.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 48124 + ... + 49076.

Almost surely, 2^46315800 is an apocalyptic number.

46315800 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 46315800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80737020).

46315800 is an abundant number, since it is smaller than the sum of its proper divisors (115158240).

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

46315800 is a wasteful number, since it uses less digits than its factorization.

46315800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 46315800 is about 6805.5712471474. The cubic root of 46315800 is about 359.1228646065.

The spelling of 46315800 in words is "forty-six million, three hundred fifteen thousand, eight hundred".