420366640 has 40 divisors (see below), whose sum is σ = 1028795760. Its totient is φ = 159296256.

The previous prime is 420366623. The next prime is 420366641. The reversal of 420366640 is 46663024.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×420366640² = 353416224049779200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420366641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136759 + ... + 139798.

It is an arithmetic number, because the mean of its divisors is an integer number (25719894).

Almost surely, 2^420366640 is an apocalyptic number.

420366640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420366640 is an abundant number, since it is smaller than the sum of its proper divisors (608429120).

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

420366640 is a wasteful number, since it uses less digits than its factorization.

420366640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276589 (or 276583 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 420366640 is about 20502.8446806778. The cubic root of 420366640 is about 749.1050896424.

The spelling of 420366640 in words is "four hundred twenty million, three hundred sixty-six thousand, six hundred forty".