365787240 has 512 divisors, whose sum is σ = 1490227200. Its totient is φ = 69672960.

The previous prime is 365787211. The next prime is 365787263. The reversal of 365787240 is 42787563.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 365787192 and 365787201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8506659 + ... + 8506701.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2^365787240 is an apocalyptic number.

365787240 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 365787240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745113600).

365787240 is an abundant number, since it is smaller than the sum of its proper divisors (1124439960).

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

365787240 is a wasteful number, since it uses less digits than its factorization.

365787240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 365787240 is about 19125.5650896908. The cubic root of 365787240 is about 715.1703768591.

The spelling of 365787240 in words is "three hundred sixty-five million, seven hundred eighty-seven thousand, two hundred forty".