362120420 has 24 divisors (see below), whose sum is σ = 762329400. Its totient is φ = 144490752.

The previous prime is 362120399. The next prime is 362120431. The reversal of 362120420 is 24021263.

It can be written as a sum of positive squares in 4 ways, for example, as 220938496 + 141181924 = 14864^2 + 11882^2 .

It is a super-2 number, since 2×362120420² = 262262397161952800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 362120392 and 362120401.

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 7 ways as a sum of consecutive naturals, for example, 13955 + ... + 30314.

It is an arithmetic number, because the mean of its divisors is an integer number (31763725).

Almost surely, 2^362120420 is an apocalyptic number.

It is an amenable number.

362120420 is an abundant number, since it is smaller than the sum of its proper divisors (400208980).

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

362120420 is a wasteful number, since it uses less digits than its factorization.

362120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44687 (or 44685 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 362120420 is about 19029.4618946517. The cubic root of 362120420 is about 712.7726142601.

Adding to 362120420 its reverse (24021263), we get a palindrome (386141683).

The spelling of 362120420 in words is "three hundred sixty-two million, one hundred twenty thousand, four hundred twenty".