356009472 has 320 divisors, whose sum is σ = 1301583360. Its totient is φ = 93560832.

The previous prime is 356009453. The next prime is 356009473. The reversal of 356009472 is 274900653.

356009472 is a `hidden beast` number, since 3 + 5 + 600 + 9 + 47 + 2 = 666.

It is a super-3 number, since 3×356009472³ (a number of 27 digits) contains 333 as substring.

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 (356009473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257843 + ... + 1258125.

It is an arithmetic number, because the mean of its divisors is an integer number (4067448).

Almost surely, 2^356009472 is an apocalyptic number.

356009472 is a gapful number since it is divisible by the number (32) 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 356009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650791680).

356009472 is an abundant number, since it is smaller than the sum of its proper divisors (945573888).

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

356009472 is a wasteful number, since it uses less digits than its factorization.

356009472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 356009472 is about 18868.2132699416. The cubic root of 356009472 is about 708.7403917961.

The spelling of 356009472 in words is "three hundred fifty-six million, nine thousand, four hundred seventy-two".