407947540 has 288 divisors, whose sum is σ = 1216228608. Its totient is φ = 112896000.

The previous prime is 407947531. The next prime is 407947559. The reversal of 407947540 is 45749704.

407947540 = T₂₈₇ + T₂₈₈ + ... + T₁₃₅₁.

It is a junction number, because it is equal to n+sod(n) for n = 407947493 and 407947502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5745705 + ... + 5745775.

It is an arithmetic number, because the mean of its divisors is an integer number (4223016).

Almost surely, 2^407947540 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 407947540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608114304).

407947540 is an abundant number, since it is smaller than the sum of its proper divisors (808281068).

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

407947540 is a wasteful number, since it uses less digits than its factorization.

407947540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 407947540 is about 20197.7112564766. The cubic root of 407947540 is about 741.6541642185.

The spelling of 407947540 in words is "four hundred seven million, nine hundred forty-seven thousand, five hundred forty".