363479040 has 360 divisors, whose sum is σ = 1380146040. Its totient is φ = 88080384.

The previous prime is 363479027. The next prime is 363479071. The reversal of 363479040 is 40974363.

It can be written as a sum of positive squares in 4 ways, for example, as 78004224 + 285474816 = 8832^2 + 16896^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 363478986 and 363479004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12533746 + ... + 12533774.

It is an arithmetic number, because the mean of its divisors is an integer number (3833739).

Almost surely, 2^363479040 is an apocalyptic number.

363479040 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 363479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690073020).

363479040 is an abundant number, since it is smaller than the sum of its proper divisors (1016667000).

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

363479040 is a wasteful number, since it uses less digits than its factorization.

363479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 363479040 is about 19065.1262781026. The cubic root of 363479040 is about 713.6629061023.

The spelling of 363479040 in words is "three hundred sixty-three million, four hundred seventy-nine thousand, forty".