420772176 has 360 divisors, whose sum is σ = 1440741120. Its totient is φ = 114048000.

The previous prime is 420772147. The next prime is 420772193. The reversal of 420772176 is 671277024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 420772176.

It is a congruent number.

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, 10262716 + ... + 10262756.

Almost surely, 2^420772176 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 420772176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720370560).

420772176 is an abundant number, since it is smaller than the sum of its proper divisors (1019968944).

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

420772176 is a wasteful number, since it uses less digits than its factorization.

420772176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 420772176 is about 20512.7320462195. The cubic root of 420772176 is about 749.3459043777.

It can be divided in two parts, 42077 and 2176, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 420772176 in words is "four hundred twenty million, seven hundred seventy-two thousand, one hundred seventy-six".