426405840 has 240 divisors, whose sum is σ = 1557221760. Its totient is φ = 96230400.

The previous prime is 426405827. The next prime is 426405887. The reversal of 426405840 is 48504624.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×426405840² = 363643880772211200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187581 + ... + 1187939.

It is an arithmetic number, because the mean of its divisors is an integer number (6488424).

Almost surely, 2^426405840 is an apocalyptic number.

426405840 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 426405840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778610880).

426405840 is an abundant number, since it is smaller than the sum of its proper divisors (1130815920).

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

426405840 is a wasteful number, since it uses less digits than its factorization.

426405840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 426405840 is about 20649.5966062294. The cubic root of 426405840 is about 752.6753872782.

The spelling of 426405840 in words is "four hundred twenty-six million, four hundred five thousand, eight hundred forty".