420392700 has 576 divisors, whose sum is σ = 1749888000. Its totient is φ = 84188160.

The previous prime is 420392587. The next prime is 420392701. The reversal of 420392700 is 7293024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420392701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7125271 + ... + 7125329.

It is an arithmetic number, because the mean of its divisors is an integer number (3038000).

Almost surely, 2^420392700 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 420392700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874944000).

420392700 is an abundant number, since it is smaller than the sum of its proper divisors (1329495300).

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

420392700 is a wasteful number, since it uses less digits than its factorization.

420392700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 420392700 is about 20503.4801923966. The cubic root of 420392700 is about 749.1205692050.

The spelling of 420392700 in words is "four hundred twenty million, three hundred ninety-two thousand, seven hundred".