365927040 has 384 divisors, whose sum is σ = 1387685520. Its totient is φ = 88473600.

The previous prime is 365927039. The next prime is 365927047. The reversal of 365927040 is 40729563.

It can be written as a sum of positive squares in 8 ways, for example, as 353139264 + 12787776 = 18792^2 + 3576^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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 = 365926986 and 365927004.

It is not an unprimeable number, because it can be changed into a prime (365927047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3622990 + ... + 3623090.

Almost surely, 2^365927040 is an apocalyptic number.

365927040 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 365927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693842760).

365927040 is an abundant number, since it is smaller than the sum of its proper divisors (1021758480).

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

365927040 is a wasteful number, since it uses less digits than its factorization.

365927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 365927040 is about 19129.2195345236. The cubic root of 365927040 is about 715.2614754298.

The spelling of 365927040 in words is "three hundred sixty-five million, nine hundred twenty-seven thousand, forty".