420393876 has 96 divisors (see below), whose sum is σ = 1141604352. Its totient is φ = 117936000.

The previous prime is 420393847. The next prime is 420393881. The reversal of 420393876 is 678393024.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1674751 + ... + 1675001.

It is an arithmetic number, because the mean of its divisors is an integer number (11891712).

Almost surely, 2^420393876 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 420393876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570802176).

420393876 is an abundant number, since it is smaller than the sum of its proper divisors (721210476).

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

420393876 is a wasteful number, since it uses less digits than its factorization.

420393876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 420393876 is about 20503.5088704348. The cubic root of 420393876 is about 749.1212677304.

The spelling of 420393876 in words is "four hundred twenty million, three hundred ninety-three thousand, eight hundred seventy-six".