419349840 has 360 divisors, whose sum is σ = 1645260768. Its totient is φ = 88058880.

The previous prime is 419349797. The next prime is 419349857. The reversal of 419349840 is 48943914.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 419349792 and 419349801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1987335 + ... + 1987545.

Almost surely, 2^419349840 is an apocalyptic number.

419349840 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 419349840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822630384).

419349840 is an abundant number, since it is smaller than the sum of its proper divisors (1225910928).

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

419349840 is a wasteful number, since it uses less digits than its factorization.

419349840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 419349840 is about 20478.0331086753. The cubic root of 419349840 is about 748.5006133393.

The spelling of 419349840 in words is "four hundred nineteen million, three hundred forty-nine thousand, eight hundred forty".