449924040 has 96 divisors (see below), whose sum is σ = 1548289080. Its totient is φ = 112920576.

The previous prime is 449923973. The next prime is 449924071. The reversal of 449924040 is 40429944.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 448846596 + 1077444 = 21186^2 + 1038^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 449923986 and 449924004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30639 + ... + 42878.

Almost surely, 2^449924040 is an apocalyptic number.

449924040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449924040 is an abundant number, since it is smaller than the sum of its proper divisors (1098365040).

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

449924040 is a wasteful number, since it uses less digits than its factorization.

449924040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73551 (or 73544 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 449924040 is about 21211.4129656654. The cubic root of 449924040 is about 766.2663122898.

The spelling of 449924040 in words is "four hundred forty-nine million, nine hundred twenty-four thousand, forty".