407028465 has 24 divisors (see below), whose sum is σ = 706291560. Its totient is φ = 216843264.

The previous prime is 407028463. The next prime is 407028491. The reversal of 407028465 is 564820704.

It can be written as a sum of positive squares in 4 ways, for example, as 46294416 + 360734049 = 6804^2 + 18993^2 .

It is not a de Polignac number, because 407028465 - 2¹ = 407028463 is a prime.

It is a super-3 number, since 3×407028465³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (407028463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41121 + ... + 50049.

It is an arithmetic number, because the mean of its divisors is an integer number (29428815).

Almost surely, 2^407028465 is an apocalyptic number.

407028465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

407028465 is a deficient number, since it is larger than the sum of its proper divisors (299263095).

407028465 is a wasteful number, since it uses less digits than its factorization.

407028465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9953 (or 9950 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 407028465 is about 20174.9464683305. The cubic root of 407028465 is about 741.0967818208.

The spelling of 407028465 in words is "four hundred seven million, twenty-eight thousand, four hundred sixty-five".