407450052 has 36 divisors (see below), whose sum is σ = 1040570076. Its totient is φ = 134415360.

The previous prime is 407450051. The next prime is 407450053. The reversal of 407450052 is 250054704.

407450052 is a `hidden beast` number, since 40 + 74 + 500 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (407450051) and next prime (407450053).

It can be written as a sum of positive squares in 2 ways, for example, as 321628356 + 85821696 = 17934^2 + 9264^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 407449998 and 407450025.

It is not an unprimeable number, because it can be changed into a prime (407450051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54849 + ... + 61832.

Almost surely, 2^407450052 is an apocalyptic number.

It is an amenable number.

407450052 is an abundant number, since it is smaller than the sum of its proper divisors (633120024).

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

407450052 is a wasteful number, since it uses less digits than its factorization.

407450052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116788 (or 116783 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 407450052 is about 20185.3920447436. The cubic root of 407450052 is about 741.3525616063.

The spelling of 407450052 in words is "four hundred seven million, four hundred fifty thousand, fifty-two".