1461048000 has 224 divisors, whose sum is σ = 5109594048. Its totient is φ = 366592000.

The previous prime is 1461047999. The next prime is 1461048007. The reversal of 1461048000 is 8401641.

It is a super-2 number, since 2×1461048000² = 4269322516608000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1461048007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406210 + ... + 409790.

Almost surely, 2^1461048000 is an apocalyptic number.

1461048000 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 1461048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554797024).

1461048000 is an abundant number, since it is smaller than the sum of its proper divisors (3648546048).

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

1461048000 is a wasteful number, since it uses less digits than its factorization.

1461048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1461048000 is about 38223.6575957875. The cubic root of 1461048000 is about 1134.7185676239.

Adding to 1461048000 its reverse (8401641), we get a palindrome (1469449641).

The spelling of 1461048000 in words is "one billion, four hundred sixty-one million, forty-eight thousand".