455029268400 has 540 divisors, whose sum is σ = 1839322702152. Its totient is φ = 103868835840.

The previous prime is 455029268357. The next prime is 455029268423. The reversal of 455029268400 is 4862920554.

455029268400 is a `hidden beast` number, since 4 + 550 + 2 + 92 + 6 + 8 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 198096052 + ... + 198098348.

Almost surely, 2^455029268400 is an apocalyptic number.

455029268400 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 455029268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919661351076).

455029268400 is an abundant number, since it is smaller than the sum of its proper divisors (1384293433752).

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

455029268400 is a wasteful number, since it uses less digits than its factorization.

455029268400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 455029268400 in words is "four hundred fifty-five billion, twenty-nine million, two hundred sixty-eight thousand, four hundred".