419364540 has 252 divisors, whose sum is σ = 1538585496. Its totient is φ = 95691456.

The previous prime is 419364527. The next prime is 419364557. The reversal of 419364540 is 45463914.

419364540 is a `hidden beast` number, since 4 + 1 + 9 + 3 + 645 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-3 number, since 3×419364540³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 419364495 and 419364504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 714127 + ... + 714713.

It is an arithmetic number, because the mean of its divisors is an integer number (6105498).

Almost surely, 2^419364540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419364540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769292748).

419364540 is an abundant number, since it is smaller than the sum of its proper divisors (1119220956).

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

419364540 is a wasteful number, since it uses less digits than its factorization.

419364540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 419364540 is about 20478.3920267193. The cubic root of 419364540 is about 748.5093592831.

It can be divided in two parts, 419364 and 540, that added together give a square (419904 = 648²).

The spelling of 419364540 in words is "four hundred nineteen million, three hundred sixty-four thousand, five hundred forty".