1409004774 has 128 divisors (see below), whose sum is σ = 3394560000. Its totient is φ = 431871264.

The previous prime is 1409004697. The next prime is 1409004803. The reversal of 1409004774 is 4774009041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7080327 + ... + 7080525.

It is an arithmetic number, because the mean of its divisors is an integer number (26520000).

Almost surely, 2^1409004774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1409004774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697280000).

1409004774 is an abundant number, since it is smaller than the sum of its proper divisors (1985555226).

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

1409004774 is a wasteful number, since it uses less digits than its factorization.

1409004774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1409004774 is about 37536.7123493787. The cubic root of 1409004774 is about 1121.0822802566.

The spelling of 1409004774 in words is "one billion, four hundred nine million, four thousand, seven hundred seventy-four".