407041245 has 48 divisors (see below), whose sum is σ = 786043440. Its totient is φ = 193471488.

The previous prime is 407041157. The next prime is 407041273. The reversal of 407041245 is 542140704.

It can be written as a sum of positive squares in 8 ways, for example, as 138933369 + 268107876 = 11787^2 + 16374^2 .

It is not a de Polignac number, because 407041245 - 2¹¹ = 407039197 is a prime.

It is a super-3 number, since 3×407041245³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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, 4969 + ... + 28961.

It is an arithmetic number, because the mean of its divisors is an integer number (16375905).

Almost surely, 2^407041245 is an apocalyptic number.

407041245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

407041245 is a deficient number, since it is larger than the sum of its proper divisors (379002195).

407041245 is a wasteful number, since it uses less digits than its factorization.

407041245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24046 (or 24043 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 407041245 is about 20175.2631953092. The cubic root of 407041245 is about 741.1045381315.

Adding to 407041245 its reverse (542140704), we get a palindrome (949181949).

The spelling of 407041245 in words is "four hundred seven million, forty-one thousand, two hundred forty-five".