426202560 has 504 divisors, whose sum is σ = 1799722080. Its totient is φ = 94058496.

The previous prime is 426202559. The next prime is 426202561. The reversal of 426202560 is 65202624.

426202560 is a `hidden beast` number, since 42 + 62 + 0 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (426202559) and next prime (426202561).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426202561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14696626 + ... + 14696654.

Almost surely, 2^426202560 is an apocalyptic number.

426202560 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 426202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899861040).

426202560 is an abundant number, since it is smaller than the sum of its proper divisors (1373519520).

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

426202560 is an frugal number, since it uses more digits than its factorization.

426202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 426202560 is about 20644.6738894079. The cubic root of 426202560 is about 752.5557608890. Note that the first 3 decimals are identical.

The spelling of 426202560 in words is "four hundred twenty-six million, two hundred two thousand, five hundred sixty".