407028540 has 96 divisors (see below), whose sum is σ = 1181537280. Its totient is φ = 104622336.

The previous prime is 407028533. The next prime is 407028553. The reversal of 407028540 is 45820704.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 407028498 and 407028507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202822 + ... + 204818.

It is an arithmetic number, because the mean of its divisors is an integer number (12307680).

Almost surely, 2^407028540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407028540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590768640).

407028540 is an abundant number, since it is smaller than the sum of its proper divisors (774508740).

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

407028540 is a wasteful number, since it uses less digits than its factorization.

407028540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 407028540 is about 20174.9483270714. The cubic root of 407028540 is about 741.0968273395.

The spelling of 407028540 in words is "four hundred seven million, twenty-eight thousand, five hundred forty".