426263040 has 320 divisors, whose sum is σ = 1732389120. Its totient is φ = 97320960.

The previous prime is 426263029. The next prime is 426263041. The reversal of 426263040 is 40362624.

426263040 is a `hidden beast` number, since 4 + 2 + 626 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 426262995 and 426263013.

It is not an unprimeable number, because it can be changed into a prime (426263041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483400 + ... + 484280.

It is an arithmetic number, because the mean of its divisors is an integer number (5413716).

Almost surely, 2^426263040 is an apocalyptic number.

426263040 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 426263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866194560).

426263040 is an abundant number, since it is smaller than the sum of its proper divisors (1306126080).

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

426263040 is an equidigital number, since it uses as much as digits as its factorization.

426263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 426263040 is about 20646.1386220281. The cubic root of 426263040 is about 752.5913561856.

The spelling of 426263040 in words is "four hundred twenty-six million, two hundred sixty-three thousand, forty".