46255200 has 72 divisors (see below), whose sum is σ = 150568488. Its totient is φ = 12334080.

The previous prime is 46255199. The next prime is 46255207. The reversal of 46255200 is 255264.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46255207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7237 + ... + 12036.

It is an arithmetic number, because the mean of its divisors is an integer number (2091229).

Almost surely, 2^46255200 is an apocalyptic number.

46255200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46255200 is an abundant number, since it is smaller than the sum of its proper divisors (104313288).

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

46255200 is a wasteful number, since it uses less digits than its factorization.

46255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19296 (or 19283 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 46255200 is about 6801.1175552258. The cubic root of 46255200 is about 358.9661697417.

The spelling of 46255200 in words is "forty-six million, two hundred fifty-five thousand, two hundred".