363372480 has 168 divisors, whose sum is σ = 1296418032. Its totient is φ = 96878592.

The previous prime is 363372419. The next prime is 363372481. The reversal of 363372480 is 84273363.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363372481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75424 + ... + 80096.

It is an arithmetic number, because the mean of its divisors is an integer number (7716774).

Almost surely, 2^363372480 is an apocalyptic number.

363372480 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 363372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648209016).

363372480 is an abundant number, since it is smaller than the sum of its proper divisors (933045552).

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

363372480 is an equidigital number, since it uses as much as digits as its factorization.

363372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 363372480 is about 19062.3314418777. The cubic root of 363372480 is about 713.5931585206.

The spelling of 363372480 in words is "three hundred sixty-three million, three hundred seventy-two thousand, four hundred eighty".