410471040 has 192 divisors, whose sum is σ = 1522337760. Its totient is φ = 93800448.

The previous prime is 410471029. The next prime is 410471057. The reversal of 410471040 is 40174014.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 410470998 and 410471016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91899 + ... + 96261.

Almost surely, 2^410471040 is an apocalyptic number.

410471040 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 410471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761168880).

410471040 is an abundant number, since it is smaller than the sum of its proper divisors (1111866720).

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

410471040 is a wasteful number, since it uses less digits than its factorization.

410471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 410471040 is about 20260.0848961696. The cubic root of 410471040 is about 743.1802741872.

The spelling of 410471040 in words is "four hundred ten million, four hundred seventy-one thousand, forty".