249055440480 has 576 divisors, whose sum is σ = 1063495899648. Its totient is φ = 51562414080.

The previous prime is 249055440467. The next prime is 249055440497. The reversal of 249055440480 is 84044550942.

It is a happy number.

249055440480 is a `hidden beast` number, since 2 + 4 + 90 + 554 + 4 + 0 + 4 + 8 + 0 = 666.

It is a super-2 number, since 2×249055440480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31375072 + ... + 31383008.

It is an arithmetic number, because the mean of its divisors is an integer number (1846347048).

Almost surely, 2^249055440480 is an apocalyptic number.

249055440480 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 249055440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531747949824).

249055440480 is an abundant number, since it is smaller than the sum of its proper divisors (814440459168).

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

249055440480 is a wasteful number, since it uses less digits than its factorization.

249055440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8259 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 249055440480 in words is "two hundred forty-nine billion, fifty-five million, four hundred forty thousand, four hundred eighty".