421764560 has 120 divisors (see below), whose sum is σ = 1207991880. Its totient is φ = 136077312.

The previous prime is 421764559. The next prime is 421764569. The reversal of 421764560 is 65467124.

It can be written as a sum of positive squares in 4 ways, for example, as 137639824 + 284124736 = 11732^2 + 16856^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 421764560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421764569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63476 + ... + 69804.

It is an arithmetic number, because the mean of its divisors is an integer number (10066599).

Almost surely, 2^421764560 is an apocalyptic number.

421764560 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 421764560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603995940).

421764560 is an abundant number, since it is smaller than the sum of its proper divisors (786227320).

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

421764560 is a wasteful number, since it uses less digits than its factorization.

421764560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6373 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 421764560 is about 20536.9072647271. The cubic root of 421764560 is about 749.9345483624.

The spelling of 421764560 in words is "four hundred twenty-one million, seven hundred sixty-four thousand, five hundred sixty".