426488400 has 270 divisors, whose sum is σ = 1604925738. Its totient is φ = 104832000.

The previous prime is 426488399. The next prime is 426488417. The reversal of 426488400 is 4884624.

426488400 is a `hidden beast` number, since 4 + 2 + 648 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 186486336 + 240002064 = 13656^2 + 15492^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 608050 + ... + 608750.

Almost surely, 2^426488400 is an apocalyptic number.

426488400 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 426488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802462869).

426488400 is an abundant number, since it is smaller than the sum of its proper divisors (1178437338).

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

426488400 is a wasteful number, since it uses less digits than its factorization.

426488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 426488400 is about 20651.5955800030. The cubic root of 426488400 is about 752.7239614017.

The spelling of 426488400 in words is "four hundred twenty-six million, four hundred eighty-eight thousand, four hundred".