420365880 has 384 divisors, whose sum is σ = 1621900800. Its totient is φ = 93312000.

The previous prime is 420365879. The next prime is 420365909. The reversal of 420365880 is 88563024.

420365880 is a `hidden beast` number, since 42 + 0 + 36 + 588 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2783805 + ... + 2783955.

It is an arithmetic number, because the mean of its divisors is an integer number (4223700).

Almost surely, 2^420365880 is an apocalyptic number.

420365880 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 420365880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810950400).

420365880 is an abundant number, since it is smaller than the sum of its proper divisors (1201534920).

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

420365880 is a wasteful number, since it uses less digits than its factorization.

420365880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 420365880 is about 20502.8261466560. The cubic root of 420365880 is about 749.1046381950.

The spelling of 420365880 in words is "four hundred twenty million, three hundred sixty-five thousand, eight hundred eighty".