419090506384 has 45 divisors (see below), whose sum is σ = 892576243209. Its totient is φ = 190482737280.

The previous prime is 419090506361. The next prime is 419090506399. The reversal of 419090506384 is 483605090914.

It is a happy number.

The square root of 419090506384 is 647372.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 310538707600 + 108551798784 = 557260^2 + 329472^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28477012 + ... + 28491724.

Almost surely, 2^419090506384 is an apocalyptic number.

419090506384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

419090506384 is the 647372-nd square number.

It is an amenable number.

419090506384 is an abundant number, since it is smaller than the sum of its proper divisors (473485736825).

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

419090506384 is an frugal number, since it uses more digits than its factorization.

419090506384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29456 (or 14726 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 419090506384 by its sum of digits (49), we get a square (20535434812816 = 4531604²).

The spelling of 419090506384 in words is "four hundred nineteen billion, ninety million, five hundred six thousand, three hundred eighty-four".