360948420 has 384 divisors, whose sum is σ = 1402168320. Its totient is φ = 75202560.

The previous prime is 360948397. The next prime is 360948433. The reversal of 360948420 is 24849063.

It is a happy number.

360948420 is a `hidden beast` number, since 3 + 609 + 4 + 8 + 42 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2634592 + ... + 2634728.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480).

Almost surely, 2^360948420 is an apocalyptic number.

360948420 is a gapful number since it is divisible by the number (30) 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 360948420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701084160).

360948420 is an abundant number, since it is smaller than the sum of its proper divisors (1041219900).

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

360948420 is a wasteful number, since it uses less digits than its factorization.

360948420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 360948420 is about 18998.6425830900. The cubic root of 360948420 is about 712.0028221283.

The spelling of 360948420 in words is "three hundred sixty million, nine hundred forty-eight thousand, four hundred twenty".