419849640 has 144 divisors (see below), whose sum is σ = 1587355380. Its totient is φ = 95961600.

The previous prime is 419849621. The next prime is 419849657. The reversal of 419849640 is 46948914.

It can be written as a sum of positive squares in 2 ways, for example, as 418366116 + 1483524 = 20454^2 + 1218^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 35 ways as a sum of consecutive naturals, for example, 5740 + ... + 29540.

Almost surely, 2^419849640 is an apocalyptic number.

419849640 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 419849640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793677690).

419849640 is an abundant number, since it is smaller than the sum of its proper divisors (1167505740).

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

419849640 is a wasteful number, since it uses less digits than its factorization.

419849640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23832 (or 23818 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 419849640 is about 20490.2327951637. The cubic root of 419849640 is about 748.7978608448.

The spelling of 419849640 in words is "four hundred nineteen million, eight hundred forty-nine thousand, six hundred forty".