1405148160 has 352 divisors, whose sum is σ = 5018130432. Its totient is φ = 333250560.

The previous prime is 1405148117. The next prime is 1405148179. The reversal of 1405148160 is 618415041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6189967 + ... + 6190193.

Almost surely, 2^1405148160 is an apocalyptic number.

1405148160 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 1405148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509065216).

1405148160 is an abundant number, since it is smaller than the sum of its proper divisors (3612982272).

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

1405148160 is a wasteful number, since it uses less digits than its factorization.

1405148160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1405148160 is about 37485.3059211206. The cubic root of 1405148160 is about 1120.0585003457.

The spelling of 1405148160 in words is "one billion, four hundred five million, one hundred forty-eight thousand, one hundred sixty".