359778420 has 216 divisors, whose sum is σ = 1190681856. Its totient is φ = 87728256.

The previous prime is 359778413. The next prime is 359778439. The reversal of 359778420 is 24877953.

It is a super-2 number, since 2×359778420² = 258881022995392800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7654837 + ... + 7654883.

It is an arithmetic number, because the mean of its divisors is an integer number (5512416).

Almost surely, 2^359778420 is an apocalyptic number.

359778420 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 359778420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595340928).

359778420 is an abundant number, since it is smaller than the sum of its proper divisors (830903436).

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

359778420 is a wasteful number, since it uses less digits than its factorization.

359778420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 359778420 is about 18967.8259165356. The cubic root of 359778420 is about 711.2326797549.

The spelling of 359778420 in words is "three hundred fifty-nine million, seven hundred seventy-eight thousand, four hundred twenty".