1477157920 has 288 divisors, whose sum is σ = 4304890800. Its totient is φ = 476872704.

The previous prime is 1477157909. The next prime is 1477157921. The reversal of 1477157920 is 297517741.

It can be written as a sum of positive squares in 8 ways, for example, as 463627024 + 1013530896 = 21532^2 + 31836^2 .

It is not an unprimeable number, because it can be changed into a prime (1477157921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16597236 + ... + 16597324.

Almost surely, 2^1477157920 is an apocalyptic number.

1477157920 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 1477157920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152445400).

1477157920 is an abundant number, since it is smaller than the sum of its proper divisors (2827732880).

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

1477157920 is a wasteful number, since it uses less digits than its factorization.

1477157920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 43.

The square root of 1477157920 is about 38433.8121970746. The cubic root of 1477157920 is about 1138.8739059628.

The spelling of 1477157920 in words is "one billion, four hundred seventy-seven million, one hundred fifty-seven thousand, nine hundred twenty".