426261420 has 192 divisors, whose sum is σ = 1463978880. Its totient is φ = 102297600.

The previous prime is 426261419. The next prime is 426261443. The reversal of 426261420 is 24162624.

426261420 is a `hidden beast` number, since 4 + 2 + 626 + 14 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287080 + ... + 288560.

It is an arithmetic number, because the mean of its divisors is an integer number (7624890).

Almost surely, 2^426261420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426261420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731989440).

426261420 is an abundant number, since it is smaller than the sum of its proper divisors (1037717460).

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

426261420 is a wasteful number, since it uses less digits than its factorization.

426261420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 426261420 is about 20646.0993894731. The cubic root of 426261420 is about 752.5904027841.

The spelling of 426261420 in words is "four hundred twenty-six million, two hundred sixty-one thousand, four hundred twenty".