455626436400 has 480 divisors, whose sum is σ = 1640957472000. Its totient is φ = 120065587200.

The previous prime is 455626436347. The next prime is 455626436401. The reversal of 455626436400 is 4634626554.

It is a happy number.

455626436400 is a `hidden beast` number, since 4 + 5 + 562 + 6 + 43 + 6 + 40 + 0 = 666.

455626436400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (455626436401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 434343076 + ... + 434344124.

It is an arithmetic number, because the mean of its divisors is an integer number (3418661400).

Almost surely, 2^455626436400 is an apocalyptic number.

455626436400 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 455626436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820478736000).

455626436400 is an abundant number, since it is smaller than the sum of its proper divisors (1185331035600).

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

455626436400 is a wasteful number, since it uses less digits than its factorization.

455626436400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 455626436400 in words is "four hundred fifty-five billion, six hundred twenty-six million, four hundred thirty-six thousand, four hundred".