294228480 has 320 divisors, whose sum is σ = 1160425728. Its totient is φ = 61931520.

The previous prime is 294228479. The next prime is 294228499. The reversal of 294228480 is 84822492.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×294228480² = 173140796886220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698670 + ... + 699090.

Almost surely, 2^294228480 is an apocalyptic number.

294228480 is a gapful number since it is divisible by the number (20) 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 294228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580212864).

294228480 is an abundant number, since it is smaller than the sum of its proper divisors (866197248).

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

294228480 is a wasteful number, since it uses less digits than its factorization.

294228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 294228480 is about 17153.0895176350. The cubic root of 294228480 is about 665.1121826307.

The spelling of 294228480 in words is "two hundred ninety-four million, two hundred twenty-eight thousand, four hundred eighty".