420464640 has 96 divisors (see below), whose sum is σ = 1345256640. Its totient is φ = 112115712.

The previous prime is 420464617. The next prime is 420464641. The reversal of 420464640 is 46464024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 420464598 and 420464607.

It is not an unprimeable number, because it can be changed into a prime (420464641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23877 + ... + 37563.

It is an arithmetic number, because the mean of its divisors is an integer number (14013090).

Almost surely, 2^420464640 is an apocalyptic number.

420464640 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 420464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672628320).

420464640 is an abundant number, since it is smaller than the sum of its proper divisors (924792000).

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

420464640 is a wasteful number, since it uses less digits than its factorization.

420464640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13717 (or 13697 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 420464640 is about 20505.2344536706. The cubic root of 420464640 is about 749.1632980313.

The spelling of 420464640 in words is "four hundred twenty million, four hundred sixty-four thousand, six hundred forty".