363948480 has 252 divisors, whose sum is σ = 1456776360. Its totient is φ = 83155968.

The previous prime is 363948469. The next prime is 363948491. The reversal of 363948480 is 84849363.

363948480 is a `hidden beast` number, since 3 + 639 + 4 + 8 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (363948469) and next prime (363948491).

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139831 + ... + 142409.

Almost surely, 2^363948480 is an apocalyptic number.

363948480 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 363948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728388180).

363948480 is an abundant number, since it is smaller than the sum of its proper divisors (1092827880).

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

363948480 is a wasteful number, since it uses less digits than its factorization.

363948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 363948480 is about 19077.4337896898. The cubic root of 363948480 is about 713.9700102744.

The spelling of 363948480 in words is "three hundred sixty-three million, nine hundred forty-eight thousand, four hundred eighty".