420176640 has 288 divisors, whose sum is σ = 1524660480. Its totient is φ = 97763328.

The previous prime is 420176639. The next prime is 420176657. The reversal of 420176640 is 46671024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 420176598 and 420176607.

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, 948259 + ... + 948701.

It is an arithmetic number, because the mean of its divisors is an integer number (5293960).

Almost surely, 2^420176640 is an apocalyptic number.

420176640 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 420176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762330240).

420176640 is an abundant number, since it is smaller than the sum of its proper divisors (1104483840).

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

420176640 is a wasteful number, since it uses less digits than its factorization.

420176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 420176640 is about 20498.2106536156. The cubic root of 420176640 is about 748.9922108657.

The spelling of 420176640 in words is "four hundred twenty million, one hundred seventy-six thousand, six hundred forty".