5461007400 has 288 divisors, whose sum is σ = 19096155000. Its totient is φ = 1396899840.

The previous prime is 5461007351. The next prime is 5461007401. The reversal of 5461007400 is 47001645.

5461007400 is a `hidden beast` number, since 5 + 4 + 610 + 0 + 7 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 138721284 + 5322286116 = 11778^2 + 72954^2 .

It is not an unprimeable number, because it can be changed into a prime (5461007401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 12162376 + ... + 12162824.

Almost surely, 2^5461007400 is an apocalyptic number.

5461007400 is a gapful number since it is divisible by the number (50) 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 5461007400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9548077500).

5461007400 is an abundant number, since it is smaller than the sum of its proper divisors (13635147600).

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

5461007400 is a wasteful number, since it uses less digits than its factorization.

5461007400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5461007400 is about 73898.6292159740. The cubic root of 5461007400 is about 1760.9928325627.

The spelling of 5461007400 in words is "five billion, four hundred sixty-one million, seven thousand, four hundred".