5464342400 has 384 divisors, whose sum is σ = 15674666400. Its totient is φ = 1863680000.

The previous prime is 5464342381. The next prime is 5464342421. The reversal of 5464342400 is 42434645.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54102350 + ... + 54102450.

Almost surely, 2^5464342400 is an apocalyptic number.

5464342400 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 5464342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837333200).

5464342400 is an abundant number, since it is smaller than the sum of its proper divisors (10210324000).

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

5464342400 is a wasteful number, since it uses less digits than its factorization.

5464342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 5464342400 is about 73921.1904666044. The cubic root of 5464342400 is about 1761.3512350549.

The spelling of 5464342400 in words is "five billion, four hundred sixty-four million, three hundred forty-two thousand, four hundred".