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421666960 = 2451113293141
BaseRepresentation
bin11001001000100…
…010000010010000
31002101102220022211
4121020202002100
51330421320320
6105501441504
713310052511
oct3110420220
91071386284
10421666960
111a70246a0
12b9270294
13694896a0
1440004a08
152704355a
hex19222090

421666960 has 320 divisors, whose sum is σ = 1259919360. Its totient is φ = 129024000.

The previous prime is 421666951. The next prime is 421666961. The reversal of 421666960 is 69666124.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (421666961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10284540 + ... + 10284580.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2421666960 is an apocalyptic number.

421666960 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 421666960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

421666960 is an abundant number, since it is smaller than the sum of its proper divisors (838252400).

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

421666960 is a wasteful number, since it uses less digits than its factorization.

421666960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 421666960 is about 20534.5309174571. The cubic root of 421666960 is about 749.8766967666.

The spelling of 421666960 in words is "four hundred twenty-one million, six hundred sixty-six thousand, nine hundred sixty".