1074954240 has 288 divisors, whose sum is σ = 3869579610. Its totient is φ = 286654464.

The previous prime is 1074954169. The next prime is 1074954253. The reversal of 1074954240 is 424594701.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)² ⋅ (3!)⁴ ⋅ 2!.

1074954240 is a `hidden beast` number, since 1 + 0 + 74 + 9 + 542 + 40 = 666.

It can be written as a sum of positive squares in only one way, i.e., 967458816 + 107495424 = 31104^2 + 10368^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1074954195 and 1074954204.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 214990846 + ... + 214990850.

Almost surely, 2^1074954240 is an apocalyptic number.

1074954240 is a gapful number since it is divisible by the number (10) 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 1074954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934789805).

1074954240 is an abundant number, since it is smaller than the sum of its proper divisors (2794625370).

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

1074954240 is an frugal number, since it uses more digits than its factorization.

1074954240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1074954240 is about 32786.4947806258. The cubic root of 1074954240 is about 1024.3852716931.

The spelling of 1074954240 in words is "one billion, seventy-four million, nine hundred fifty-four thousand, two hundred forty".