1476940032 has 216 divisors, whose sum is σ = 4545725184. Its totient is φ = 460111872.

The previous prime is 1476940013. The next prime is 1476940033. The reversal of 1476940032 is 2300496741.

It is a super-2 number, since 2×1476940032² = 4362703716248322048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1476940033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2490328 + ... + 2490920.

It is an arithmetic number, because the mean of its divisors is an integer number (21045024).

Almost surely, 2^1476940032 is an apocalyptic number.

1476940032 is a gapful number since it is divisible by the number (12) 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 1476940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272862592).

1476940032 is an abundant number, since it is smaller than the sum of its proper divisors (3068785152).

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

1476940032 is a wasteful number, since it uses less digits than its factorization.

1476940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1476940032 is about 38430.9775051325. The cubic root of 1476940032 is about 1138.8179067235.

The spelling of 1476940032 in words is "one billion, four hundred seventy-six million, nine hundred forty thousand, thirty-two".