356820480 has 240 divisors, whose sum is σ = 1309898304. Its totient is φ = 89456640.

The previous prime is 356820449. The next prime is 356820487. The reversal of 356820480 is 84028653.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356820487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391225 + ... + 392135.

Almost surely, 2^356820480 is an apocalyptic number.

356820480 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 356820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654949152).

356820480 is an abundant number, since it is smaller than the sum of its proper divisors (953077824).

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

356820480 is a wasteful number, since it uses less digits than its factorization.

356820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 356820480 is about 18889.6924273531. The cubic root of 356820480 is about 709.2781660728.

It can be divided in two parts, 356 and 820480, that added together give a square (820836 = 906²).

The spelling of 356820480 in words is "three hundred fifty-six million, eight hundred twenty thousand, four hundred eighty".