426448598400 has 1152 divisors, whose sum is σ = 1730319252480. Its totient is φ = 99072000000.

The previous prime is 426448598399. The next prime is 426448598413. The reversal of 426448598400 is 4895844624.

It is a happy number.

426448598400 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 4 + 8 + 598 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1698998275 + ... + 1698998525.

It is an arithmetic number, because the mean of its divisors is an integer number (1502013240).

Almost surely, 2^426448598400 is an apocalyptic number.

426448598400 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 426448598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865159626240).

426448598400 is an abundant number, since it is smaller than the sum of its proper divisors (1303870654080).

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

426448598400 is a wasteful number, since it uses less digits than its factorization.

426448598400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 426448598400 in words is "four hundred twenty-six billion, four hundred forty-eight million, five hundred ninety-eight thousand, four hundred".