365421456 has 135 divisors (see below), whose sum is σ = 1080256411. Its totient is φ = 119742624.

The previous prime is 365421421. The next prime is 365421467. The reversal of 365421456 is 654124563.

The square root of 365421456 is 19116.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

Its product of digits (86400) is a multiple of the sum of its prime divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 365421456.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6193555 + ... + 6193613.

Almost surely, 2^365421456 is an apocalyptic number.

365421456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

365421456 is the 19116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365421456

365421456 is an abundant number, since it is smaller than the sum of its proper divisors (714834955).

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

365421456 is an frugal number, since it uses more digits than its factorization.

365421456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 64 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The cubic root of 365421456 is about 714.9319093389.

Multiplying 365421456 by its sum of digits (36), we get a square (13155172416 = 114696²).

365421456 divided by its sum of digits (36) gives a square (10150596 = 3186²).

It can be divided in two parts, 365 and 421456, that added together give a triangular number (421821 = T₉₁₈).

The spelling of 365421456 in words is "three hundred sixty-five million, four hundred twenty-one thousand, four hundred fifty-six".