409677480 has 128 divisors (see below), whose sum is σ = 1375920000. Its totient is φ = 108421632.

The previous prime is 409677451. The next prime is 409677491. The reversal of 409677480 is 84776904.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 148756 + ... + 151484.

It is an arithmetic number, because the mean of its divisors is an integer number (10749375).

Almost surely, 2^409677480 is an apocalyptic number.

409677480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409677480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960000).

409677480 is an abundant number, since it is smaller than the sum of its proper divisors (966242520).

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

409677480 is a wasteful number, since it uses less digits than its factorization.

409677480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 409677480 is about 20240.4911007614. The cubic root of 409677480 is about 742.7010372881.

The spelling of 409677480 in words is "four hundred nine million, six hundred seventy-seven thousand, four hundred eighty".