420073344 has 128 divisors (see below), whose sum is σ = 1248112800. Its totient is φ = 139087872.

The previous prime is 420073327. The next prime is 420073361. The reversal of 420073344 is 443370024.

It is an interprime number because it is at equal distance from previous prime (420073327) and next prime (420073361).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×420073344² = 352923228678684672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680524 + ... + 681140.

Almost surely, 2^420073344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420073344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624056400).

420073344 is an abundant number, since it is smaller than the sum of its proper divisors (828039456).

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

420073344 is a wasteful number, since it uses less digits than its factorization.

420073344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 420073344 is about 20495.6908641792. The cubic root of 420073344 is about 748.9308285542.

The spelling of 420073344 in words is "four hundred twenty million, seventy-three thousand, three hundred forty-four".