455419859400 has 672 divisors, whose sum is σ = 1738490649120. Its totient is φ = 109983744000.

The previous prime is 455419859341. The next prime is 455419859423. The reversal of 455419859400 is 4958914554.

455419859400 is a `hidden beast` number, since 4 + 5 + 5 + 41 + 9 + 8 + 594 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 710483080 + ... + 710483720.

Almost surely, 2^455419859400 is an apocalyptic number.

455419859400 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 455419859400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869245324560).

455419859400 is an abundant number, since it is smaller than the sum of its proper divisors (1283070789720).

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

455419859400 is a wasteful number, since it uses less digits than its factorization.

455419859400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 455419859400 in words is "four hundred fifty-five billion, four hundred nineteen million, eight hundred fifty-nine thousand, four hundred".