275430467400 has 576 divisors, whose sum is σ = 995849743680. Its totient is φ = 62439014400.

The previous prime is 275430467387. The next prime is 275430467437. The reversal of 275430467400 is 4764034572.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 375757434 + ... + 375758166.

It is an arithmetic number, because the mean of its divisors is an integer number (1728905805).

Almost surely, 2^275430467400 is an apocalyptic number.

275430467400 is a gapful number since it is divisible by the number (20) 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 275430467400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497924871840).

275430467400 is an abundant number, since it is smaller than the sum of its proper divisors (720419276280).

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

275430467400 is a wasteful number, since it uses less digits than its factorization.

275430467400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 42.

The spelling of 275430467400 in words is "two hundred seventy-five billion, four hundred thirty million, four hundred sixty-seven thousand, four hundred".