420951888 has 240 divisors, whose sum is σ = 1431146496. Its totient is φ = 112907520.

The previous prime is 420951871. The next prime is 420951929. The reversal of 420951888 is 888159024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1553193 + ... + 1553463.

Almost surely, 2^420951888 is an apocalyptic number.

420951888 is a gapful number since it is divisible by the number (48) 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 420951888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715573248).

420951888 is an abundant number, since it is smaller than the sum of its proper divisors (1010194608).

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

420951888 is a wasteful number, since it uses less digits than its factorization.

420951888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 420951888 is about 20517.1120774830. The cubic root of 420951888 is about 749.4525711928.

The spelling of 420951888 in words is "four hundred twenty million, nine hundred fifty-one thousand, eight hundred eighty-eight".