420083664 has 240 divisors, whose sum is σ = 1484280000. Its totient is φ = 100638720.

The previous prime is 420083639. The next prime is 420083669. The reversal of 420083664 is 466380024.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420083669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335712 + ... + 336960.

It is an arithmetic number, because the mean of its divisors is an integer number (6184500).

Almost surely, 2^420083664 is an apocalyptic number.

420083664 is a gapful number since it is divisible by the number (44) 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 420083664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742140000).

420083664 is an abundant number, since it is smaller than the sum of its proper divisors (1064196336).

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

420083664 is a wasteful number, since it uses less digits than its factorization.

420083664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 420083664 is about 20495.9426228705. The cubic root of 420083664 is about 748.9369615331.

The spelling of 420083664 in words is "four hundred twenty million, eighty-three thousand, six hundred sixty-four".