364845040 has 40 divisors (see below), whose sum is σ = 969446880. Its totient is φ = 125089536.

The previous prime is 364845031. The next prime is 364845043. The reversal of 364845040 is 40548463.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×364845040² = 266223806425203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 364844987 and 364845005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364845043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325195 + ... + 326314.

It is an arithmetic number, because the mean of its divisors is an integer number (24236172).

Almost surely, 2^364845040 is an apocalyptic number.

It is an amenable number.

364845040 is an abundant number, since it is smaller than the sum of its proper divisors (604601840).

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

364845040 is a wasteful number, since it uses less digits than its factorization.

364845040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651529 (or 651523 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 364845040 is about 19100.9172554618. The cubic root of 364845040 is about 714.5558001860. Note that the first 3 decimals are identical.

The spelling of 364845040 in words is "three hundred sixty-four million, eight hundred forty-five thousand, forty".