447515040 has 288 divisors, whose sum is σ = 1675416960. Its totient is φ = 100079616.

The previous prime is 447515027. The next prime is 447515053. The reversal of 447515040 is 40515744.

It is an interprime number because it is at equal distance from previous prime (447515027) and next prime (447515053).

It is a super-2 number, since 2×447515040² = 400539422052403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 447514989 and 447515007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246381 + ... + 1246739.

It is an arithmetic number, because the mean of its divisors is an integer number (5817420).

Almost surely, 2^447515040 is an apocalyptic number.

447515040 is a gapful number since it is divisible by the number (40) 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 447515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837708480).

447515040 is an abundant number, since it is smaller than the sum of its proper divisors (1227901920).

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

447515040 is a wasteful number, since it uses less digits than its factorization.

447515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 447515040 is about 21154.5512833527. The cubic root of 447515040 is about 764.8962736890.

The spelling of 447515040 in words is "four hundred forty-seven million, five hundred fifteen thousand, forty".