420376704 has 128 divisors (see below), whose sum is σ = 1271393280. Its totient is φ = 121820160.

The previous prime is 420376687. The next prime is 420376753. The reversal of 420376704 is 407673024.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94989 + ... + 99315.

It is an arithmetic number, because the mean of its divisors is an integer number (9932760).

Almost surely, 2^420376704 is an apocalyptic number.

420376704 is a gapful number since it is divisible by the number (44) 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 420376704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635696640).

420376704 is an abundant number, since it is smaller than the sum of its proper divisors (851016576).

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

420376704 is a wasteful number, since it uses less digits than its factorization.

420376704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 420376704 is about 20503.0901085666. The cubic root of 420376704 is about 749.1110677043. Note that the first 3 decimals are identical.

The spelling of 420376704 in words is "four hundred twenty million, three hundred seventy-six thousand, seven hundred four".