426728640 has 224 divisors, whose sum is σ = 1507516416. Its totient is φ = 101560320.

The previous prime is 426728539. The next prime is 426728641. The reversal of 426728640 is 46827624.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (426728641) 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, 386329 + ... + 387431.

It is an arithmetic number, because the mean of its divisors is an integer number (6729984).

Almost surely, 2^426728640 is an apocalyptic number.

426728640 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 426728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753758208).

426728640 is an abundant number, since it is smaller than the sum of its proper divisors (1080787776).

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

426728640 is a wasteful number, since it uses less digits than its factorization.

426728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 426728640 is about 20657.4112608526. The cubic root of 426728640 is about 752.8652708024.

The spelling of 426728640 in words is "four hundred twenty-six million, seven hundred twenty-eight thousand, six hundred forty".