1534741416 has 192 divisors, whose sum is σ = 4745832000. Its totient is φ = 444165120.

The previous prime is 1534741391. The next prime is 1534741427. The reversal of 1534741416 is 6141474351.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3752220 + ... + 3752628.

It is an arithmetic number, because the mean of its divisors is an integer number (24717875).

Almost surely, 2^1534741416 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 1534741416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372916000).

1534741416 is an abundant number, since it is smaller than the sum of its proper divisors (3211090584).

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

1534741416 is a wasteful number, since it uses less digits than its factorization.

1534741416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 657 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1534741416 is about 39175.7758825527. The cubic root of 1534741416 is about 1153.4844325927.

The spelling of 1534741416 in words is "one billion, five hundred thirty-four million, seven hundred forty-one thousand, four hundred sixteen".