2455790400 has 420 divisors, whose sum is σ = 10320231328. Its totient is φ = 561116160.

The previous prime is 2455790371. The next prime is 2455790401. The reversal of 2455790400 is 40975542.

2455790400 is a `hidden beast` number, since 2 + 45 + 579 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2455790401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 905847 + ... + 908553.

Almost surely, 2^2455790400 is an apocalyptic number.

2455790400 is a gapful number since it is divisible by the number (20) 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 2455790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160115664).

2455790400 is an abundant number, since it is smaller than the sum of its proper divisors (7864440928).

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

2455790400 is a wasteful number, since it uses less digits than its factorization.

2455790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2455790400 is about 49555.9320364374. The cubic root of 2455790400 is about 1349.1609601170.

The spelling of 2455790400 in words is "two billion, four hundred fifty-five million, seven hundred ninety thousand, four hundred".