1478621952 has 288 divisors, whose sum is σ = 4693024000. Its totient is φ = 463574016.

The previous prime is 1478621941. The next prime is 1478621983. The reversal of 1478621952 is 2591268741.

1478621952 is a `hidden beast` number, since 14 + 7 + 8 + 621 + 9 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1478621898 and 1478621907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10637499 + ... + 10637637.

Almost surely, 2^1478621952 is an apocalyptic number.

1478621952 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 1478621952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346512000).

1478621952 is an abundant number, since it is smaller than the sum of its proper divisors (3214402048).

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

1478621952 is an frugal number, since it uses more digits than its factorization.

1478621952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 163 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1478621952 is about 38452.8536262265. The cubic root of 1478621952 is about 1139.2500330464.

The spelling of 1478621952 in words is "one billion, four hundred seventy-eight million, six hundred twenty-one thousand, nine hundred fifty-two".