419696640 has 520 divisors, whose sum is σ = 1712639808. Its totient is φ = 97320960.

The previous prime is 419696633. The next prime is 419696657. The reversal of 419696640 is 46696914.

It is a super-2 number, since 2×419696640² = 352290539254579200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18247669 + ... + 18247691.

Almost surely, 2^419696640 is an apocalyptic number.

419696640 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 419696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856319904).

419696640 is an abundant number, since it is smaller than the sum of its proper divisors (1292943168).

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

419696640 is a wasteful number, since it uses less digits than its factorization.

419696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 419696640 is about 20486.4989688331. The cubic root of 419696640 is about 748.7068917762.

The spelling of 419696640 in words is "four hundred nineteen million, six hundred ninety-six thousand, six hundred forty".