1476542340 has 288 divisors, whose sum is σ = 5569724160. Its totient is φ = 308302848.

The previous prime is 1476542303. The next prime is 1476542351. The reversal of 1476542340 is 432456741.

1476542340 is a `hidden beast` number, since 1 + 4 + 76 + 542 + 3 + 40 = 666.

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 = 1476542295 and 1476542304.

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, 1785007 + ... + 1785833.

It is an arithmetic number, because the mean of its divisors is an integer number (19339320).

Almost surely, 2^1476542340 is an apocalyptic number.

1476542340 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 1476542340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784862080).

1476542340 is an abundant number, since it is smaller than the sum of its proper divisors (4093181820).

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

1476542340 is a wasteful number, since it uses less digits than its factorization.

1476542340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1476542340 is about 38425.8030495135. The cubic root of 1476542340 is about 1138.7156819846.

The spelling of 1476542340 in words is "one billion, four hundred seventy-six million, five hundred forty-two thousand, three hundred forty".