420911400 has 288 divisors, whose sum is σ = 1617485760. Its totient is φ = 88657920.

The previous prime is 420911399. The next prime is 420911417. The reversal of 420911400 is 4119024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 709504 + ... + 710096.

It is an arithmetic number, because the mean of its divisors is an integer number (5616270).

Almost surely, 2^420911400 is an apocalyptic number.

420911400 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 420911400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808742880).

420911400 is an abundant number, since it is smaller than the sum of its proper divisors (1196574360).

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

420911400 is a wasteful number, since it uses less digits than its factorization.

420911400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 420911400 is about 20516.1253651853. The cubic root of 420911400 is about 749.4285424701.

The spelling of 420911400 in words is "four hundred twenty million, nine hundred eleven thousand, four hundred".