455700 has 108 divisors (see below), whose sum is σ = 1583232. Its totient is φ = 100800.

The previous prime is 455687. The next prime is 455701. The reversal of 455700 is 7554.

455700 = T₄₁ + T₄₂ + ... + T₁₄₀.

455700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) 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 (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14685 + ... + 14715.

2⁴⁵⁵⁷⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791616).

455700 is an abundant number, since it is smaller than the sum of its proper divisors (1127532).

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

455700 is a wasteful number, since it uses less digits than its factorization.

455700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 455700 is about 675.0555532695. The cubic root of 455700 is about 76.9531395316.

The spelling of 455700 in words is "four hundred fifty-five thousand, seven hundred".