1534464000 has 520 divisors, whose sum is σ = 5875306008. Its totient is φ = 398131200.

The previous prime is 1534463971. The next prime is 1534464011. The reversal of 1534464000 is 4644351.

1534464000 is a `hidden beast` number, since 15 + 3 + 4 + 4 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 1534132224 = 576^2 + 39168^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41471982 + ... + 41472018.

Almost surely, 2^1534464000 is an apocalyptic number.

1534464000 is a gapful number since it is divisible by the number (10) 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 1534464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937653004).

1534464000 is an abundant number, since it is smaller than the sum of its proper divisors (4340842008).

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

1534464000 is an frugal number, since it uses more digits than its factorization.

1534464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1534464000 is about 39172.2350651581. The cubic root of 1534464000 is about 1153.4149280893.

The spelling of 1534464000 in words is "one billion, five hundred thirty-four million, four hundred sixty-four thousand".