1541672496 has 240 divisors, whose sum is σ = 5420833600. Its totient is φ = 406594944.

The previous prime is 1541672467. The next prime is 1541672513. The reversal of 1541672496 is 6942761451.

1541672496 is a `hidden beast` number, since 1 + 541 + 67 + 2 + 49 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118590186 + ... + 118590198.

Almost surely, 2^1541672496 is an apocalyptic number.

1541672496 is a gapful number since it is divisible by the number (16) 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 1541672496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710416800).

1541672496 is an abundant number, since it is smaller than the sum of its proper divisors (3879161104).

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

1541672496 is an frugal number, since it uses more digits than its factorization.

1541672496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 25 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1541672496 is about 39264.1375303215. The cubic root of 1541672496 is about 1155.2182507674.

The spelling of 1541672496 in words is "one billion, five hundred forty-one million, six hundred seventy-two thousand, four hundred ninety-six".