426877440 has 320 divisors, whose sum is σ = 1546186752. Its totient is φ = 99532800.

The previous prime is 426877433. The next prime is 426877499. The reversal of 426877440 is 44778624.

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

It is a super-3 number, since 3×426877440³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 426877392 and 426877401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2618799 + ... + 2618961.

Almost surely, 2^426877440 is an apocalyptic number.

426877440 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 426877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773093376).

426877440 is an abundant number, since it is smaller than the sum of its proper divisors (1119309312).

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

426877440 is a wasteful number, since it uses less digits than its factorization.

426877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 426877440 is about 20661.0125598916. The cubic root of 426877440 is about 752.9527685103.

The spelling of 426877440 in words is "four hundred twenty-six million, eight hundred seventy-seven thousand, four hundred forty".