420167000 has 64 divisors (see below), whose sum is σ = 1072599840. Its totient is φ = 152784000.

The previous prime is 420166961. The next prime is 420167017. The reversal of 420167000 is 761024.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 8099 + ... + 30098.

Almost surely, 2^420167000 is an apocalyptic number.

420167000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420167000 is an abundant number, since it is smaller than the sum of its proper divisors (652432840).

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

420167000 is a wasteful number, since it uses less digits than its factorization.

420167000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38229 (or 38215 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 420167000 is about 20497.9755097912. The cubic root of 420167000 is about 748.9864828461.

The spelling of 420167000 in words is "four hundred twenty million, one hundred sixty-seven thousand".