407450240 has 64 divisors (see below), whose sum is σ = 976880520. Its totient is φ = 162508800.

The previous prime is 407450227. The next prime is 407450243. The reversal of 407450240 is 42054704.

It can be written as a sum of positive squares in 4 ways, for example, as 285745216 + 121705024 = 16904^2 + 11032^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (407450243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294350 + ... + 295730.

Almost surely, 2^407450240 is an apocalyptic number.

407450240 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 407450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488440260).

407450240 is an abundant number, since it is smaller than the sum of its proper divisors (569430280).

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

407450240 is a wasteful number, since it uses less digits than its factorization.

407450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 407450240 is about 20185.3967015761. The cubic root of 407450240 is about 741.3526756278.

The spelling of 407450240 in words is "four hundred seven million, four hundred fifty thousand, two hundred forty".