366263040 has 576 divisors, whose sum is σ = 1483453440. Its totient is φ = 75694080.

The previous prime is 366263003. The next prime is 366263059. The reversal of 366263040 is 40362663.

It is a super-2 number, since 2×366263040² = 268297228940083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 366262989 and 366263007.

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 63 ways as a sum of consecutive naturals, for example, 12629746 + ... + 12629774.

It is an arithmetic number, because the mean of its divisors is an integer number (2575440).

Almost surely, 2^366263040 is an apocalyptic number.

366263040 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 366263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741726720).

366263040 is an abundant number, since it is smaller than the sum of its proper divisors (1117190400).

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

366263040 is a wasteful number, since it uses less digits than its factorization.

366263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 366263040 is about 19137.9998954959. Note that the first 3 decimals coincide. The cubic root of 366263040 is about 715.4803299275.

The spelling of 366263040 in words is "three hundred sixty-six million, two hundred sixty-three thousand, forty".