363503040 has 224 divisors, whose sum is σ = 1223686656. Its totient is φ = 91238400.

The previous prime is 363503039. The next prime is 363503053. The reversal of 363503040 is 40305363.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 363503040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2229999 + ... + 2230161.

Almost surely, 2^363503040 is an apocalyptic number.

363503040 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 363503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611843328).

363503040 is an abundant number, since it is smaller than the sum of its proper divisors (860183616).

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

363503040 is a wasteful number, since it uses less digits than its factorization.

363503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 363503040 is about 19065.7556891931. The cubic root of 363503040 is about 713.6786131361.

The spelling of 363503040 in words is "three hundred sixty-three million, five hundred three thousand, forty".