5464166400 has 1053 divisors, whose sum is σ = 25024676313. Its totient is φ = 1135411200.

The previous prime is 5464166369. The next prime is 5464166429. The reversal of 5464166400 is 46614645.

5464166400 = 1³ + 2³ + ... + 384³.

The square root of 5464166400 is 73920.

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

5464166400 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 1 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1967099904 + 3497066496 = 44352^2 + 59136^2 .

It is a super-2 number, since 2×5464166400² = 59714228893777920000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 496742395 + ... + 496742405.

Almost surely, 2^5464166400 is an apocalyptic number.

5464166400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5464166400 is the 73920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5464166400

5464166400 is an abundant number, since it is smaller than the sum of its proper divisors (19560509913).

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

5464166400 is a wasteful number, since it uses less digits than its factorization.

5464166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The cubic root of 5464166400 is about 1761.3323245058.

Multiplying 5464166400 by its sum of digits (36), we get a square (196709990400 = 443520²).

5464166400 divided by its sum of digits (36) gives a square (151782400 = 12320²).

The spelling of 5464166400 in words is "five billion, four hundred sixty-four million, one hundred sixty-six thousand, four hundred".